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Finding the Fourth Proportional to 6,854.70, 9,459.51 and 3,871.11

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Solution

The fourth proportional to 6,854.70, 9,459.51 and 3,871.11 is: 5,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.70 : 9,459.51 = 3,871.11 : x
  2. Step 2: Convert to fraction form
    6,854.70/9,459.51 = 3,871.11/x
  3. Step 3: Cross multiply
    6,854.70x = 9,459.51 × 3,871.11
  4. Step 4: Simplify right side
    6,854.70x = 36,618,803.76
  5. Step 5: Solve for x
    x = 36,618,803.76/6,854.70
  6. Step 6: Final answer
    x = 5,342.15

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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.