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Finding the Fourth Proportional to 1,547.72, 2,321.78 and 817.32

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Solution

The fourth proportional to 1,547.72, 2,321.78 and 817.32 is: 1,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.72 : 2,321.78 = 817.32 : x
  2. Step 2: Convert to fraction form
    1,547.72/2,321.78 = 817.32/x
  3. Step 3: Cross multiply
    1,547.72x = 2,321.78 × 817.32
  4. Step 4: Simplify right side
    1,547.72x = 1,897,633.14
  5. Step 5: Solve for x
    x = 1,897,633.14/1,547.72
  6. Step 6: Final answer
    x = 1,226.09

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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.