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Finding the Fourth Proportional to 35,407.80, 53,124 and 15,700.20

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Solution

The fourth proportional to 35,407.80, 53,124 and 15,700.20 is: 23,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407.80 : 53,124 = 15,700.20 : x
  2. Step 2: Convert to fraction form
    35,407.80/53,124 = 15,700.20/x
  3. Step 3: Cross multiply
    35,407.80x = 53,124 × 15,700.20
  4. Step 4: Simplify right side
    35,407.80x = 834,057,424.80
  5. Step 5: Solve for x
    x = 834,057,424.80/35,407.80
  6. Step 6: Final answer
    x = 23,555.75

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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.