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Finding the Fourth Proportional to 4,989, 7,483.47 and 1,291.22

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Solution

The fourth proportional to 4,989, 7,483.47 and 1,291.22 is: 1,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989 : 7,483.47 = 1,291.22 : x
  2. Step 2: Convert to fraction form
    4,989/7,483.47 = 1,291.22/x
  3. Step 3: Cross multiply
    4,989x = 7,483.47 × 1,291.22
  4. Step 4: Simplify right side
    4,989x = 9,662,768.72
  5. Step 5: Solve for x
    x = 9,662,768.72/4,989
  6. Step 6: Final answer
    x = 1,936.81

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.