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Finding the Fourth Proportional to 10,803.60, 16,248.60 and 9,680.40

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Solution

The fourth proportional to 10,803.60, 16,248.60 and 9,680.40 is: 14,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.60 : 16,248.60 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    10,803.60/16,248.60 = 9,680.40/x
  3. Step 3: Cross multiply
    10,803.60x = 16,248.60 × 9,680.40
  4. Step 4: Simplify right side
    10,803.60x = 157,292,947.44
  5. Step 5: Solve for x
    x = 157,292,947.44/10,803.60
  6. Step 6: Final answer
    x = 14,559.31

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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.