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Finding the Fourth Proportional to 1,384.47, 1,911.11 and 887.13

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Solution

The fourth proportional to 1,384.47, 1,911.11 and 887.13 is: 1,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.47 : 1,911.11 = 887.13 : x
  2. Step 2: Convert to fraction form
    1,384.47/1,911.11 = 887.13/x
  3. Step 3: Cross multiply
    1,384.47x = 1,911.11 × 887.13
  4. Step 4: Simplify right side
    1,384.47x = 1,695,398.58
  5. Step 5: Solve for x
    x = 1,695,398.58/1,384.47
  6. Step 6: Final answer
    x = 1,224.58

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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.