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Finding the Fourth Proportional to 12,547.65, 18,815.52 and 7,284.28

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Solution

The fourth proportional to 12,547.65, 18,815.52 and 7,284.28 is: 10,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.65 : 18,815.52 = 7,284.28 : x
  2. Step 2: Convert to fraction form
    12,547.65/18,815.52 = 7,284.28/x
  3. Step 3: Cross multiply
    12,547.65x = 18,815.52 × 7,284.28
  4. Step 4: Simplify right side
    12,547.65x = 137,057,516.03
  5. Step 5: Solve for x
    x = 137,057,516.03/12,547.65
  6. Step 6: Final answer
    x = 10,922.96

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1.5x scale

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.