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Finding the Fourth Proportional to 6,456.06, 8,909.65 and 5,056.38

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Solution

The fourth proportional to 6,456.06, 8,909.65 and 5,056.38 is: 6,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.06 : 8,909.65 = 5,056.38 : x
  2. Step 2: Convert to fraction form
    6,456.06/8,909.65 = 5,056.38/x
  3. Step 3: Cross multiply
    6,456.06x = 8,909.65 × 5,056.38
  4. Step 4: Simplify right side
    6,456.06x = 45,050,518.88
  5. Step 5: Solve for x
    x = 45,050,518.88/6,456.06
  6. Step 6: Final answer
    x = 6,978.03

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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.