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Finding the Fourth Proportional to 1,547.81, 2,319.53 and 854.78

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Solution

The fourth proportional to 1,547.81, 2,319.53 and 854.78 is: 1,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.81 : 2,319.53 = 854.78 : x
  2. Step 2: Convert to fraction form
    1,547.81/2,319.53 = 854.78/x
  3. Step 3: Cross multiply
    1,547.81x = 2,319.53 × 854.78
  4. Step 4: Simplify right side
    1,547.81x = 1,982,689.38
  5. Step 5: Solve for x
    x = 1,982,689.38/1,547.81
  6. Step 6: Final answer
    x = 1,280.97

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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.