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Finding the Fourth Proportional to 8,402.01, 12,603.50 and 2,162.08

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Solution

The fourth proportional to 8,402.01, 12,603.50 and 2,162.08 is: 3,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.01 : 12,603.50 = 2,162.08 : x
  2. Step 2: Convert to fraction form
    8,402.01/12,603.50 = 2,162.08/x
  3. Step 3: Cross multiply
    8,402.01x = 12,603.50 × 2,162.08
  4. Step 4: Simplify right side
    8,402.01x = 27,249,775.28
  5. Step 5: Solve for x
    x = 27,249,775.28/8,402.01
  6. Step 6: Final answer
    x = 3,243.24

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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.