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Finding the Fourth Proportional to 6,459.60, 9,689.40 and 4,491.30

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Solution

The fourth proportional to 6,459.60, 9,689.40 and 4,491.30 is: 6,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.60 : 9,689.40 = 4,491.30 : x
  2. Step 2: Convert to fraction form
    6,459.60/9,689.40 = 4,491.30/x
  3. Step 3: Cross multiply
    6,459.60x = 9,689.40 × 4,491.30
  4. Step 4: Simplify right side
    6,459.60x = 43,518,002.22
  5. Step 5: Solve for x
    x = 43,518,002.22/6,459.60
  6. Step 6: Final answer
    x = 6,736.95

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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.