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Finding the Fourth Proportional to 1,186.04, 1,637.82 and 987.18

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Solution

The fourth proportional to 1,186.04, 1,637.82 and 987.18 is: 1,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.04 : 1,637.82 = 987.18 : x
  2. Step 2: Convert to fraction form
    1,186.04/1,637.82 = 987.18/x
  3. Step 3: Cross multiply
    1,186.04x = 1,637.82 × 987.18
  4. Step 4: Simplify right side
    1,186.04x = 1,616,823.15
  5. Step 5: Solve for x
    x = 1,616,823.15/1,186.04
  6. Step 6: Final answer
    x = 1,363.22

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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.