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Finding the Fourth Proportional to 12,343.78, 18,510 and 4,547.13

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Solution

The fourth proportional to 12,343.78, 18,510 and 4,547.13 is: 6,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.78 : 18,510 = 4,547.13 : x
  2. Step 2: Convert to fraction form
    12,343.78/18,510 = 4,547.13/x
  3. Step 3: Cross multiply
    12,343.78x = 18,510 × 4,547.13
  4. Step 4: Simplify right side
    12,343.78x = 84,167,376.30
  5. Step 5: Solve for x
    x = 84,167,376.30/12,343.78
  6. Step 6: Final answer
    x = 6,818.61

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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.