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Finding the Fourth Proportional to 52,792.75, 72,854 and 30,436.75

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Solution

The fourth proportional to 52,792.75, 72,854 and 30,436.75 is: 42,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,792.75 : 72,854 = 30,436.75 : x
  2. Step 2: Convert to fraction form
    52,792.75/72,854 = 30,436.75/x
  3. Step 3: Cross multiply
    52,792.75x = 72,854 × 30,436.75
  4. Step 4: Simplify right side
    52,792.75x = 2,217,438,984.50
  5. Step 5: Solve for x
    x = 2,217,438,984.50/52,792.75
  6. Step 6: Final answer
    x = 42,002.72

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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.