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Finding the Fourth Proportional to 6,718.96, 9,275.88 and 5,142.16

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Solution

The fourth proportional to 6,718.96, 9,275.88 and 5,142.16 is: 7,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.96 : 9,275.88 = 5,142.16 : x
  2. Step 2: Convert to fraction form
    6,718.96/9,275.88 = 5,142.16/x
  3. Step 3: Cross multiply
    6,718.96x = 9,275.88 × 5,142.16
  4. Step 4: Simplify right side
    6,718.96x = 47,698,059.10
  5. Step 5: Solve for x
    x = 47,698,059.10/6,718.96
  6. Step 6: Final answer
    x = 7,099.02

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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.