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Finding the Fourth Proportional to 9,699.70, 14,521.20 and 7,245.40

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Solution

The fourth proportional to 9,699.70, 14,521.20 and 7,245.40 is: 10,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.70 : 14,521.20 = 7,245.40 : x
  2. Step 2: Convert to fraction form
    9,699.70/14,521.20 = 7,245.40/x
  3. Step 3: Cross multiply
    9,699.70x = 14,521.20 × 7,245.40
  4. Step 4: Simplify right side
    9,699.70x = 105,211,902.48
  5. Step 5: Solve for x
    x = 105,211,902.48/9,699.70
  6. Step 6: Final answer
    x = 10,846.92

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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.