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Finding the Fourth Proportional to 10,321.86, 15,482.80 and 8,490.45

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Solution

The fourth proportional to 10,321.86, 15,482.80 and 8,490.45 is: 12,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.86 : 15,482.80 = 8,490.45 : x
  2. Step 2: Convert to fraction form
    10,321.86/15,482.80 = 8,490.45/x
  3. Step 3: Cross multiply
    10,321.86x = 15,482.80 × 8,490.45
  4. Step 4: Simplify right side
    10,321.86x = 131,455,960.17
  5. Step 5: Solve for x
    x = 131,455,960.17/10,321.86
  6. Step 6: Final answer
    x = 12,735.68

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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.