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Finding the Fourth Proportional to 35,862.40, 53,728.80 and 31,715.20

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Solution

The fourth proportional to 35,862.40, 53,728.80 and 31,715.20 is: 47,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862.40 : 53,728.80 = 31,715.20 : x
  2. Step 2: Convert to fraction form
    35,862.40/53,728.80 = 31,715.20/x
  3. Step 3: Cross multiply
    35,862.40x = 53,728.80 × 31,715.20
  4. Step 4: Simplify right side
    35,862.40x = 1,704,019,637.76
  5. Step 5: Solve for x
    x = 1,704,019,637.76/35,862.40
  6. Step 6: Final answer
    x = 47,515.49

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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.