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Finding the Fourth Proportional to 4,761.64, 7,142.65 and 1,298.88

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Solution

The fourth proportional to 4,761.64, 7,142.65 and 1,298.88 is: 1,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.64 : 7,142.65 = 1,298.88 : x
  2. Step 2: Convert to fraction form
    4,761.64/7,142.65 = 1,298.88/x
  3. Step 3: Cross multiply
    4,761.64x = 7,142.65 × 1,298.88
  4. Step 4: Simplify right side
    4,761.64x = 9,277,445.23
  5. Step 5: Solve for x
    x = 9,277,445.23/4,761.64
  6. Step 6: Final answer
    x = 1,948.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.