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Finding the Fourth Proportional to 11,473.87, 15,834.69 and 6,438.40

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Solution

The fourth proportional to 11,473.87, 15,834.69 and 6,438.40 is: 8,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.87 : 15,834.69 = 6,438.40 : x
  2. Step 2: Convert to fraction form
    11,473.87/15,834.69 = 6,438.40/x
  3. Step 3: Cross multiply
    11,473.87x = 15,834.69 × 6,438.40
  4. Step 4: Simplify right side
    11,473.87x = 101,950,068.10
  5. Step 5: Solve for x
    x = 101,950,068.10/11,473.87
  6. Step 6: Final answer
    x = 8,885.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.