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Finding the Fourth Proportional to 7,847.60, 10,798.68 and 7,243.76

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Solution

The fourth proportional to 7,847.60, 10,798.68 and 7,243.76 is: 9,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.60 : 10,798.68 = 7,243.76 : x
  2. Step 2: Convert to fraction form
    7,847.60/10,798.68 = 7,243.76/x
  3. Step 3: Cross multiply
    7,847.60x = 10,798.68 × 7,243.76
  4. Step 4: Simplify right side
    7,847.60x = 78,223,046.24
  5. Step 5: Solve for x
    x = 78,223,046.24/7,847.60
  6. Step 6: Final answer
    x = 9,967.77

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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.