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Finding the Fourth Proportional to 9,700.40, 14,572.20 and 9,306.80

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Solution

The fourth proportional to 9,700.40, 14,572.20 and 9,306.80 is: 13,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.40 : 14,572.20 = 9,306.80 : x
  2. Step 2: Convert to fraction form
    9,700.40/14,572.20 = 9,306.80/x
  3. Step 3: Cross multiply
    9,700.40x = 14,572.20 × 9,306.80
  4. Step 4: Simplify right side
    9,700.40x = 135,620,550.96
  5. Step 5: Solve for x
    x = 135,620,550.96/9,700.40
  6. Step 6: Final answer
    x = 13,980.92

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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.