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Finding the Fourth Proportional to 9,662.40, 13,350.24 and 9,077.76

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Solution

The fourth proportional to 9,662.40, 13,350.24 and 9,077.76 is: 12,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.40 : 13,350.24 = 9,077.76 : x
  2. Step 2: Convert to fraction form
    9,662.40/13,350.24 = 9,077.76/x
  3. Step 3: Cross multiply
    9,662.40x = 13,350.24 × 9,077.76
  4. Step 4: Simplify right side
    9,662.40x = 121,190,274.66
  5. Step 5: Solve for x
    x = 121,190,274.66/9,662.40
  6. Step 6: Final answer
    x = 12,542.46

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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.