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Finding the Fourth Proportional to 7,790.76, 11,686.02 and 1,947.36

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Solution

The fourth proportional to 7,790.76, 11,686.02 and 1,947.36 is: 2,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.76 : 11,686.02 = 1,947.36 : x
  2. Step 2: Convert to fraction form
    7,790.76/11,686.02 = 1,947.36/x
  3. Step 3: Cross multiply
    7,790.76x = 11,686.02 × 1,947.36
  4. Step 4: Simplify right side
    7,790.76x = 22,756,887.91
  5. Step 5: Solve for x
    x = 22,756,887.91/7,790.76
  6. Step 6: Final answer
    x = 2,921.01

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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.