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Finding the Fourth Proportional to 8,547.81, 12,787.99 and 6,473.81

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Solution

The fourth proportional to 8,547.81, 12,787.99 and 6,473.81 is: 9,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.81 : 12,787.99 = 6,473.81 : x
  2. Step 2: Convert to fraction form
    8,547.81/12,787.99 = 6,473.81/x
  3. Step 3: Cross multiply
    8,547.81x = 12,787.99 × 6,473.81
  4. Step 4: Simplify right side
    8,547.81x = 82,787,017.54
  5. Step 5: Solve for x
    x = 82,787,017.54/8,547.81
  6. Step 6: Final answer
    x = 9,685.17

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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.