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Finding the Fourth Proportional to 12,547.43, 18,828.43 and 5,621.93

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Solution

The fourth proportional to 12,547.43, 18,828.43 and 5,621.93 is: 8,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.43 : 18,828.43 = 5,621.93 : x
  2. Step 2: Convert to fraction form
    12,547.43/18,828.43 = 5,621.93/x
  3. Step 3: Cross multiply
    12,547.43x = 18,828.43 × 5,621.93
  4. Step 4: Simplify right side
    12,547.43x = 105,852,115.47
  5. Step 5: Solve for x
    x = 105,852,115.47/12,547.43
  6. Step 6: Final answer
    x = 8,436.16

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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.