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Finding the Fourth Proportional to 6,486.64, 8,948.92 and 4,789.20

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Solution

The fourth proportional to 6,486.64, 8,948.92 and 4,789.20 is: 6,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.64 : 8,948.92 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    6,486.64/8,948.92 = 4,789.20/x
  3. Step 3: Cross multiply
    6,486.64x = 8,948.92 × 4,789.20
  4. Step 4: Simplify right side
    6,486.64x = 42,858,167.66
  5. Step 5: Solve for x
    x = 42,858,167.66/6,486.64
  6. Step 6: Final answer
    x = 6,607.14

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1.5x scale

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.