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Finding the Fourth Proportional to 10,449.88, 14,420.86 and 5,734.20

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Solution

The fourth proportional to 10,449.88, 14,420.86 and 5,734.20 is: 7,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.88 : 14,420.86 = 5,734.20 : x
  2. Step 2: Convert to fraction form
    10,449.88/14,420.86 = 5,734.20/x
  3. Step 3: Cross multiply
    10,449.88x = 14,420.86 × 5,734.20
  4. Step 4: Simplify right side
    10,449.88x = 82,692,095.41
  5. Step 5: Solve for x
    x = 82,692,095.41/10,449.88
  6. Step 6: Final answer
    x = 7,913.21

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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.