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Finding the Fourth Proportional to 10,490.20, 15,720.90 and 8,546.20

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Solution

The fourth proportional to 10,490.20, 15,720.90 and 8,546.20 is: 12,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.20 : 15,720.90 = 8,546.20 : x
  2. Step 2: Convert to fraction form
    10,490.20/15,720.90 = 8,546.20/x
  3. Step 3: Cross multiply
    10,490.20x = 15,720.90 × 8,546.20
  4. Step 4: Simplify right side
    10,490.20x = 134,353,955.58
  5. Step 5: Solve for x
    x = 134,353,955.58/10,490.20
  6. Step 6: Final answer
    x = 12,807.57

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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.