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Finding the Fourth Proportional to 9,377.70, 14,048.13 and 7,286.40

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Solution

The fourth proportional to 9,377.70, 14,048.13 and 7,286.40 is: 10,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.70 : 14,048.13 = 7,286.40 : x
  2. Step 2: Convert to fraction form
    9,377.70/14,048.13 = 7,286.40/x
  3. Step 3: Cross multiply
    9,377.70x = 14,048.13 × 7,286.40
  4. Step 4: Simplify right side
    9,377.70x = 102,360,294.43
  5. Step 5: Solve for x
    x = 102,360,294.43/9,377.70
  6. Step 6: Final answer
    x = 10,915.29

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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.