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Finding the Fourth Proportional to 6,147.06, 8,490 and 4,475.91

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Solution

The fourth proportional to 6,147.06, 8,490 and 4,475.91 is: 6,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.06 : 8,490 = 4,475.91 : x
  2. Step 2: Convert to fraction form
    6,147.06/8,490 = 4,475.91/x
  3. Step 3: Cross multiply
    6,147.06x = 8,490 × 4,475.91
  4. Step 4: Simplify right side
    6,147.06x = 38,000,475.90
  5. Step 5: Solve for x
    x = 38,000,475.90/6,147.06
  6. Step 6: Final answer
    x = 6,181.89

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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.