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Finding the Fourth Proportional to 1,687.76, 2,330.88 and 1,504.52

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Solution

The fourth proportional to 1,687.76, 2,330.88 and 1,504.52 is: 2,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.76 : 2,330.88 = 1,504.52 : x
  2. Step 2: Convert to fraction form
    1,687.76/2,330.88 = 1,504.52/x
  3. Step 3: Cross multiply
    1,687.76x = 2,330.88 × 1,504.52
  4. Step 4: Simplify right side
    1,687.76x = 3,506,855.58
  5. Step 5: Solve for x
    x = 3,506,855.58/1,687.76
  6. Step 6: Final answer
    x = 2,077.82

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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.