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Finding the Fourth Proportional to 11,454.40, 15,807.24 and 6,978.36

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Solution

The fourth proportional to 11,454.40, 15,807.24 and 6,978.36 is: 9,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.40 : 15,807.24 = 6,978.36 : x
  2. Step 2: Convert to fraction form
    11,454.40/15,807.24 = 6,978.36/x
  3. Step 3: Cross multiply
    11,454.40x = 15,807.24 × 6,978.36
  4. Step 4: Simplify right side
    11,454.40x = 110,308,611.33
  5. Step 5: Solve for x
    x = 110,308,611.33/11,454.40
  6. Step 6: Final answer
    x = 9,630.24

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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.