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Finding the Fourth Proportional to 6,410.76, 9,619.65 and 4,459.20

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Solution

The fourth proportional to 6,410.76, 9,619.65 and 4,459.20 is: 6,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.76 : 9,619.65 = 4,459.20 : x
  2. Step 2: Convert to fraction form
    6,410.76/9,619.65 = 4,459.20/x
  3. Step 3: Cross multiply
    6,410.76x = 9,619.65 × 4,459.20
  4. Step 4: Simplify right side
    6,410.76x = 42,895,943.28
  5. Step 5: Solve for x
    x = 42,895,943.28/6,410.76
  6. Step 6: Final answer
    x = 6,691.24

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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.