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Finding the Fourth Proportional to 1,221.47, 1,684.15 and 1,011.88

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Solution

The fourth proportional to 1,221.47, 1,684.15 and 1,011.88 is: 1,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.47 : 1,684.15 = 1,011.88 : x
  2. Step 2: Convert to fraction form
    1,221.47/1,684.15 = 1,011.88/x
  3. Step 3: Cross multiply
    1,221.47x = 1,684.15 × 1,011.88
  4. Step 4: Simplify right side
    1,221.47x = 1,704,157.70
  5. Step 5: Solve for x
    x = 1,704,157.70/1,221.47
  6. Step 6: Final answer
    x = 1,395.17

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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.