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Finding the Fourth Proportional to 10,490.50, 15,738.18 and 3,565

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Solution

The fourth proportional to 10,490.50, 15,738.18 and 3,565 is: 5,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.50 : 15,738.18 = 3,565 : x
  2. Step 2: Convert to fraction form
    10,490.50/15,738.18 = 3,565/x
  3. Step 3: Cross multiply
    10,490.50x = 15,738.18 × 3,565
  4. Step 4: Simplify right side
    10,490.50x = 56,106,611.70
  5. Step 5: Solve for x
    x = 56,106,611.70/10,490.50
  6. Step 6: Final answer
    x = 5,348.33

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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.