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Finding the Fourth Proportional to 7,790.71, 11,686.07 and 1,947.32

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Solution

The fourth proportional to 7,790.71, 11,686.07 and 1,947.32 is: 2,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.71 : 11,686.07 = 1,947.32 : x
  2. Step 2: Convert to fraction form
    7,790.71/11,686.07 = 1,947.32/x
  3. Step 3: Cross multiply
    7,790.71x = 11,686.07 × 1,947.32
  4. Step 4: Simplify right side
    7,790.71x = 22,756,543.02
  5. Step 5: Solve for x
    x = 22,756,543.02/7,790.71
  6. Step 6: Final answer
    x = 2,920.98

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.