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Finding the Fourth Proportional to 6,856.61, 9,462.11 and 3,712.79

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Solution

The fourth proportional to 6,856.61, 9,462.11 and 3,712.79 is: 5,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.61 : 9,462.11 = 3,712.79 : x
  2. Step 2: Convert to fraction form
    6,856.61/9,462.11 = 3,712.79/x
  3. Step 3: Cross multiply
    6,856.61x = 9,462.11 × 3,712.79
  4. Step 4: Simplify right side
    6,856.61x = 35,130,761.51
  5. Step 5: Solve for x
    x = 35,130,761.51/6,856.61
  6. Step 6: Final answer
    x = 5,123.64

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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.