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Finding the Fourth Proportional to 11,454.35, 15,807.18 and 6,978.29

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Solution

The fourth proportional to 11,454.35, 15,807.18 and 6,978.29 is: 9,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.35 : 15,807.18 = 6,978.29 : x
  2. Step 2: Convert to fraction form
    11,454.35/15,807.18 = 6,978.29/x
  3. Step 3: Cross multiply
    11,454.35x = 15,807.18 × 6,978.29
  4. Step 4: Simplify right side
    11,454.35x = 110,307,086.12
  5. Step 5: Solve for x
    x = 110,307,086.12/11,454.35
  6. Step 6: Final answer
    x = 9,630.15

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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.