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Finding the Fourth Proportional to 5,276.80, 7,915.20 and 5,238.40

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Solution

The fourth proportional to 5,276.80, 7,915.20 and 5,238.40 is: 7,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.80 : 7,915.20 = 5,238.40 : x
  2. Step 2: Convert to fraction form
    5,276.80/7,915.20 = 5,238.40/x
  3. Step 3: Cross multiply
    5,276.80x = 7,915.20 × 5,238.40
  4. Step 4: Simplify right side
    5,276.80x = 41,462,983.68
  5. Step 5: Solve for x
    x = 41,462,983.68/5,276.80
  6. Step 6: Final answer
    x = 7,857.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.