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Finding the Fourth Proportional to 6,416.28, 8,851.14 and 5,575.14

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Solution

The fourth proportional to 6,416.28, 8,851.14 and 5,575.14 is: 7,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.28 : 8,851.14 = 5,575.14 : x
  2. Step 2: Convert to fraction form
    6,416.28/8,851.14 = 5,575.14/x
  3. Step 3: Cross multiply
    6,416.28x = 8,851.14 × 5,575.14
  4. Step 4: Simplify right side
    6,416.28x = 49,346,344.66
  5. Step 5: Solve for x
    x = 49,346,344.66/6,416.28
  6. Step 6: Final answer
    x = 7,690.80

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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.