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Finding the Fourth Proportional to 11,503.50, 15,868.35 and 7,523.70

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Solution

The fourth proportional to 11,503.50, 15,868.35 and 7,523.70 is: 10,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.50 : 15,868.35 = 7,523.70 : x
  2. Step 2: Convert to fraction form
    11,503.50/15,868.35 = 7,523.70/x
  3. Step 3: Cross multiply
    11,503.50x = 15,868.35 × 7,523.70
  4. Step 4: Simplify right side
    11,503.50x = 119,388,704.90
  5. Step 5: Solve for x
    x = 119,388,704.90/11,503.50
  6. Step 6: Final answer
    x = 10,378.47

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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.