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Finding the Fourth Proportional to 12,663.40, 17,471.64 and 7,357.20

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Solution

The fourth proportional to 12,663.40, 17,471.64 and 7,357.20 is: 10,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.40 : 17,471.64 = 7,357.20 : x
  2. Step 2: Convert to fraction form
    12,663.40/17,471.64 = 7,357.20/x
  3. Step 3: Cross multiply
    12,663.40x = 17,471.64 × 7,357.20
  4. Step 4: Simplify right side
    12,663.40x = 128,542,349.81
  5. Step 5: Solve for x
    x = 128,542,349.81/12,663.40
  6. Step 6: Final answer
    x = 10,150.70

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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.