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Finding the Fourth Proportional to 8,299.96, 12,430.80 and 5,005.78

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Solution

The fourth proportional to 8,299.96, 12,430.80 and 5,005.78 is: 7,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.96 : 12,430.80 = 5,005.78 : x
  2. Step 2: Convert to fraction form
    8,299.96/12,430.80 = 5,005.78/x
  3. Step 3: Cross multiply
    8,299.96x = 12,430.80 × 5,005.78
  4. Step 4: Simplify right side
    8,299.96x = 62,225,850.02
  5. Step 5: Solve for x
    x = 62,225,850.02/8,299.96
  6. Step 6: Final answer
    x = 7,497.13

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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.