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Finding the Fourth Proportional to 1,547.02, 2,135.17 and 987.66

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Solution

The fourth proportional to 1,547.02, 2,135.17 and 987.66 is: 1,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 2,135.17 = 987.66 : x
  2. Step 2: Convert to fraction form
    1,547.02/2,135.17 = 987.66/x
  3. Step 3: Cross multiply
    1,547.02x = 2,135.17 × 987.66
  4. Step 4: Simplify right side
    1,547.02x = 2,108,822.00
  5. Step 5: Solve for x
    x = 2,108,822.00/1,547.02
  6. Step 6: Final answer
    x = 1,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.