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Finding the Fourth Proportional to 8,666.52, 11,947.02 and 6,140.82

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Solution

The fourth proportional to 8,666.52, 11,947.02 and 6,140.82 is: 8,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.52 : 11,947.02 = 6,140.82 : x
  2. Step 2: Convert to fraction form
    8,666.52/11,947.02 = 6,140.82/x
  3. Step 3: Cross multiply
    8,666.52x = 11,947.02 × 6,140.82
  4. Step 4: Simplify right side
    8,666.52x = 73,364,499.36
  5. Step 5: Solve for x
    x = 73,364,499.36/8,666.52
  6. Step 6: Final answer
    x = 8,465.28

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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.