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Finding the Fourth Proportional to 3,580, 5,367.68 and 1,501.40

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Solution

The fourth proportional to 3,580, 5,367.68 and 1,501.40 is: 2,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 5,367.68 = 1,501.40 : x
  2. Step 2: Convert to fraction form
    3,580/5,367.68 = 1,501.40/x
  3. Step 3: Cross multiply
    3,580x = 5,367.68 × 1,501.40
  4. Step 4: Simplify right side
    3,580x = 8,059,034.75
  5. Step 5: Solve for x
    x = 8,059,034.75/3,580
  6. Step 6: Final answer
    x = 2,251.13

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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.