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Finding the Fourth Proportional to 11,478.53, 15,839.06 and 6,442.08

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Solution

The fourth proportional to 11,478.53, 15,839.06 and 6,442.08 is: 8,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.53 : 15,839.06 = 6,442.08 : x
  2. Step 2: Convert to fraction form
    11,478.53/15,839.06 = 6,442.08/x
  3. Step 3: Cross multiply
    11,478.53x = 15,839.06 × 6,442.08
  4. Step 4: Simplify right side
    11,478.53x = 102,036,459.43
  5. Step 5: Solve for x
    x = 102,036,459.43/11,478.53
  6. Step 6: Final answer
    x = 8,889.34

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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.