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Finding the Fourth Proportional to 7,856.84, 10,837.92 and 4,711.20

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Solution

The fourth proportional to 7,856.84, 10,837.92 and 4,711.20 is: 6,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.84 : 10,837.92 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    7,856.84/10,837.92 = 4,711.20/x
  3. Step 3: Cross multiply
    7,856.84x = 10,837.92 × 4,711.20
  4. Step 4: Simplify right side
    7,856.84x = 51,059,608.70
  5. Step 5: Solve for x
    x = 51,059,608.70/7,856.84
  6. Step 6: Final answer
    x = 6,498.75

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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.