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Finding the Fourth Proportional to 6,489.96, 8,945.62 and 5,071.16

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Solution

The fourth proportional to 6,489.96, 8,945.62 and 5,071.16 is: 6,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.96 : 8,945.62 = 5,071.16 : x
  2. Step 2: Convert to fraction form
    6,489.96/8,945.62 = 5,071.16/x
  3. Step 3: Cross multiply
    6,489.96x = 8,945.62 × 5,071.16
  4. Step 4: Simplify right side
    6,489.96x = 45,364,670.32
  5. Step 5: Solve for x
    x = 45,364,670.32/6,489.96
  6. Step 6: Final answer
    x = 6,989.98

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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.