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Finding the Fourth Proportional to 11,603.72, 17,374.68 and 7,913.20

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Solution

The fourth proportional to 11,603.72, 17,374.68 and 7,913.20 is: 11,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.72 : 17,374.68 = 7,913.20 : x
  2. Step 2: Convert to fraction form
    11,603.72/17,374.68 = 7,913.20/x
  3. Step 3: Cross multiply
    11,603.72x = 17,374.68 × 7,913.20
  4. Step 4: Simplify right side
    11,603.72x = 137,489,317.78
  5. Step 5: Solve for x
    x = 137,489,317.78/11,603.72
  6. Step 6: Final answer
    x = 11,848.73

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1.5x scale

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.