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Finding the Fourth Proportional to 12,749.81, 17,592.05 and 7,713.02

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Solution

The fourth proportional to 12,749.81, 17,592.05 and 7,713.02 is: 10,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.81 : 17,592.05 = 7,713.02 : x
  2. Step 2: Convert to fraction form
    12,749.81/17,592.05 = 7,713.02/x
  3. Step 3: Cross multiply
    12,749.81x = 17,592.05 × 7,713.02
  4. Step 4: Simplify right side
    12,749.81x = 135,687,896.75
  5. Step 5: Solve for x
    x = 135,687,896.75/12,749.81
  6. Step 6: Final answer
    x = 10,642.35

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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.