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Finding the Fourth Proportional to 7,156.55, 9,871.04 and 6,915.71

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Solution

The fourth proportional to 7,156.55, 9,871.04 and 6,915.71 is: 9,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.55 : 9,871.04 = 6,915.71 : x
  2. Step 2: Convert to fraction form
    7,156.55/9,871.04 = 6,915.71/x
  3. Step 3: Cross multiply
    7,156.55x = 9,871.04 × 6,915.71
  4. Step 4: Simplify right side
    7,156.55x = 68,265,166.10
  5. Step 5: Solve for x
    x = 68,265,166.10/7,156.55
  6. Step 6: Final answer
    x = 9,538.84

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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.