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Finding the Fourth Proportional to 12,357.43, 17,061.00 and 9,519.46

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Solution

The fourth proportional to 12,357.43, 17,061.00 and 9,519.46 is: 13,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.43 : 17,061.00 = 9,519.46 : x
  2. Step 2: Convert to fraction form
    12,357.43/17,061.00 = 9,519.46/x
  3. Step 3: Cross multiply
    12,357.43x = 17,061.00 × 9,519.46
  4. Step 4: Simplify right side
    12,357.43x = 162,411,428.71
  5. Step 5: Solve for x
    x = 162,411,428.71/12,357.43
  6. Step 6: Final answer
    x = 13,142.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.