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Finding the Fourth Proportional to 8,129.00, 11,193.02 and 6,931.31

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Solution

The fourth proportional to 8,129.00, 11,193.02 and 6,931.31 is: 9,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.00 : 11,193.02 = 6,931.31 : x
  2. Step 2: Convert to fraction form
    8,129.00/11,193.02 = 6,931.31/x
  3. Step 3: Cross multiply
    8,129.00x = 11,193.02 × 6,931.31
  4. Step 4: Simplify right side
    8,129.00x = 77,582,200.83
  5. Step 5: Solve for x
    x = 77,582,200.83/8,129.00
  6. Step 6: Final answer
    x = 9,543.89

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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.