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Finding the Fourth Proportional to 7,866.80, 11,800.20 and 7,502.30

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Solution

The fourth proportional to 7,866.80, 11,800.20 and 7,502.30 is: 11,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.80 : 11,800.20 = 7,502.30 : x
  2. Step 2: Convert to fraction form
    7,866.80/11,800.20 = 7,502.30/x
  3. Step 3: Cross multiply
    7,866.80x = 11,800.20 × 7,502.30
  4. Step 4: Simplify right side
    7,866.80x = 88,528,640.46
  5. Step 5: Solve for x
    x = 88,528,640.46/7,866.80
  6. Step 6: Final answer
    x = 11,253.45

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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.