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Finding the Fourth Proportional to 11,535, 17,302.50 and 4,139.91

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Solution

The fourth proportional to 11,535, 17,302.50 and 4,139.91 is: 6,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535 : 17,302.50 = 4,139.91 : x
  2. Step 2: Convert to fraction form
    11,535/17,302.50 = 4,139.91/x
  3. Step 3: Cross multiply
    11,535x = 17,302.50 × 4,139.91
  4. Step 4: Simplify right side
    11,535x = 71,630,792.78
  5. Step 5: Solve for x
    x = 71,630,792.78/11,535
  6. Step 6: Final answer
    x = 6,209.87

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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.