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Finding the Fourth Proportional to 42,762.74, 64,144.12 and 11,598

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Solution

The fourth proportional to 42,762.74, 64,144.12 and 11,598 is: 17,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762.74 : 64,144.12 = 11,598 : x
  2. Step 2: Convert to fraction form
    42,762.74/64,144.12 = 11,598/x
  3. Step 3: Cross multiply
    42,762.74x = 64,144.12 × 11,598
  4. Step 4: Simplify right side
    42,762.74x = 743,943,503.76
  5. Step 5: Solve for x
    x = 743,943,503.76/42,762.74
  6. Step 6: Final answer
    x = 17,397.00

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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.