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Finding the Fourth Proportional to 9,760.40, 14,621.40 and 9,069.20

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Solution

The fourth proportional to 9,760.40, 14,621.40 and 9,069.20 is: 13,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.40 : 14,621.40 = 9,069.20 : x
  2. Step 2: Convert to fraction form
    9,760.40/14,621.40 = 9,069.20/x
  3. Step 3: Cross multiply
    9,760.40x = 14,621.40 × 9,069.20
  4. Step 4: Simplify right side
    9,760.40x = 132,604,400.88
  5. Step 5: Solve for x
    x = 132,604,400.88/9,760.40
  6. Step 6: Final answer
    x = 13,585.96

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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.