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Finding the Fourth Proportional to 7,572.42, 10,436.81 and 7,135.02

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Solution

The fourth proportional to 7,572.42, 10,436.81 and 7,135.02 is: 9,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.42 : 10,436.81 = 7,135.02 : x
  2. Step 2: Convert to fraction form
    7,572.42/10,436.81 = 7,135.02/x
  3. Step 3: Cross multiply
    7,572.42x = 10,436.81 × 7,135.02
  4. Step 4: Simplify right side
    7,572.42x = 74,466,812.41
  5. Step 5: Solve for x
    x = 74,466,812.41/7,572.42
  6. Step 6: Final answer
    x = 9,833.95

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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.