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Finding the Fourth Proportional to 8,271.92, 12,408.40 and 2,428

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Solution

The fourth proportional to 8,271.92, 12,408.40 and 2,428 is: 3,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.92 : 12,408.40 = 2,428 : x
  2. Step 2: Convert to fraction form
    8,271.92/12,408.40 = 2,428/x
  3. Step 3: Cross multiply
    8,271.92x = 12,408.40 × 2,428
  4. Step 4: Simplify right side
    8,271.92x = 30,127,595.20
  5. Step 5: Solve for x
    x = 30,127,595.20/8,271.92
  6. Step 6: Final answer
    x = 3,642.15

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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.