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Finding the Fourth Proportional to 9,642.40, 13,311.76 and 6,287.26

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Solution

The fourth proportional to 9,642.40, 13,311.76 and 6,287.26 is: 8,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.40 : 13,311.76 = 6,287.26 : x
  2. Step 2: Convert to fraction form
    9,642.40/13,311.76 = 6,287.26/x
  3. Step 3: Cross multiply
    9,642.40x = 13,311.76 × 6,287.26
  4. Step 4: Simplify right side
    9,642.40x = 83,694,496.18
  5. Step 5: Solve for x
    x = 83,694,496.18/9,642.40
  6. Step 6: Final answer
    x = 8,679.84

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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.