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Finding the Fourth Proportional to 1,714.88, 2,366.55 and 928.93

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Solution

The fourth proportional to 1,714.88, 2,366.55 and 928.93 is: 1,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.88 : 2,366.55 = 928.93 : x
  2. Step 2: Convert to fraction form
    1,714.88/2,366.55 = 928.93/x
  3. Step 3: Cross multiply
    1,714.88x = 2,366.55 × 928.93
  4. Step 4: Simplify right side
    1,714.88x = 2,198,349.89
  5. Step 5: Solve for x
    x = 2,198,349.89/1,714.88
  6. Step 6: Final answer
    x = 1,281.92

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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.