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Finding the Fourth Proportional to 11,417.45, 15,756.11 and 6,449.45

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Solution

The fourth proportional to 11,417.45, 15,756.11 and 6,449.45 is: 8,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.45 : 15,756.11 = 6,449.45 : x
  2. Step 2: Convert to fraction form
    11,417.45/15,756.11 = 6,449.45/x
  3. Step 3: Cross multiply
    11,417.45x = 15,756.11 × 6,449.45
  4. Step 4: Simplify right side
    11,417.45x = 101,618,132.61
  5. Step 5: Solve for x
    x = 101,618,132.61/11,417.45
  6. Step 6: Final answer
    x = 8,900.25

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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.