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Finding the Fourth Proportional to 10,989, 15,164.88 and 5,953.26

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Solution

The fourth proportional to 10,989, 15,164.88 and 5,953.26 is: 8,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 15,164.88 = 5,953.26 : x
  2. Step 2: Convert to fraction form
    10,989/15,164.88 = 5,953.26/x
  3. Step 3: Cross multiply
    10,989x = 15,164.88 × 5,953.26
  4. Step 4: Simplify right side
    10,989x = 90,280,473.51
  5. Step 5: Solve for x
    x = 90,280,473.51/10,989
  6. Step 6: Final answer
    x = 8,215.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.