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Finding the Fourth Proportional to 7,138, 9,853.44 and 4,661.20

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Solution

The fourth proportional to 7,138, 9,853.44 and 4,661.20 is: 6,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 9,853.44 = 4,661.20 : x
  2. Step 2: Convert to fraction form
    7,138/9,853.44 = 4,661.20/x
  3. Step 3: Cross multiply
    7,138x = 9,853.44 × 4,661.20
  4. Step 4: Simplify right side
    7,138x = 45,928,854.53
  5. Step 5: Solve for x
    x = 45,928,854.53/7,138
  6. Step 6: Final answer
    x = 6,434.42

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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.