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Finding the Fourth Proportional to 7,854.72, 10,819.20 and 7,459.20

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Solution

The fourth proportional to 7,854.72, 10,819.20 and 7,459.20 is: 10,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.72 : 10,819.20 = 7,459.20 : x
  2. Step 2: Convert to fraction form
    7,854.72/10,819.20 = 7,459.20/x
  3. Step 3: Cross multiply
    7,854.72x = 10,819.20 × 7,459.20
  4. Step 4: Simplify right side
    7,854.72x = 80,702,576.64
  5. Step 5: Solve for x
    x = 80,702,576.64/7,854.72
  6. Step 6: Final answer
    x = 10,274.41

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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.