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Finding the Fourth Proportional to 10,978.92, 15,148.26 and 6,261.48

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Solution

The fourth proportional to 10,978.92, 15,148.26 and 6,261.48 is: 8,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.92 : 15,148.26 = 6,261.48 : x
  2. Step 2: Convert to fraction form
    10,978.92/15,148.26 = 6,261.48/x
  3. Step 3: Cross multiply
    10,978.92x = 15,148.26 × 6,261.48
  4. Step 4: Simplify right side
    10,978.92x = 94,850,527.02
  5. Step 5: Solve for x
    x = 94,850,527.02/10,978.92
  6. Step 6: Final answer
    x = 8,639.33

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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.