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Finding the Fourth Proportional to 10,399, 15,595.22 and 3,377.40

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Solution

The fourth proportional to 10,399, 15,595.22 and 3,377.40 is: 5,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399 : 15,595.22 = 3,377.40 : x
  2. Step 2: Convert to fraction form
    10,399/15,595.22 = 3,377.40/x
  3. Step 3: Cross multiply
    10,399x = 15,595.22 × 3,377.40
  4. Step 4: Simplify right side
    10,399x = 52,671,296.03
  5. Step 5: Solve for x
    x = 52,671,296.03/10,399
  6. Step 6: Final answer
    x = 5,065.03

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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.