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Finding the Fourth Proportional to 15,077.60, 20,807.76 and 10,033.76

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Solution

The fourth proportional to 15,077.60, 20,807.76 and 10,033.76 is: 13,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.60 : 20,807.76 = 10,033.76 : x
  2. Step 2: Convert to fraction form
    15,077.60/20,807.76 = 10,033.76/x
  3. Step 3: Cross multiply
    15,077.60x = 20,807.76 × 10,033.76
  4. Step 4: Simplify right side
    15,077.60x = 208,780,069.98
  5. Step 5: Solve for x
    x = 208,780,069.98/15,077.60
  6. Step 6: Final answer
    x = 13,847.04

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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.