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Finding the Fourth Proportional to 1,385.49, 1,913.64 and 1,011.87

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Solution

The fourth proportional to 1,385.49, 1,913.64 and 1,011.87 is: 1,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.49 : 1,913.64 = 1,011.87 : x
  2. Step 2: Convert to fraction form
    1,385.49/1,913.64 = 1,011.87/x
  3. Step 3: Cross multiply
    1,385.49x = 1,913.64 × 1,011.87
  4. Step 4: Simplify right side
    1,385.49x = 1,936,354.91
  5. Step 5: Solve for x
    x = 1,936,354.91/1,385.49
  6. Step 6: Final answer
    x = 1,397.60

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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.