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Finding the Fourth Proportional to 3,588.86, 5,381.87 and 1,397.00

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Solution

The fourth proportional to 3,588.86, 5,381.87 and 1,397.00 is: 2,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.86 : 5,381.87 = 1,397.00 : x
  2. Step 2: Convert to fraction form
    3,588.86/5,381.87 = 1,397.00/x
  3. Step 3: Cross multiply
    3,588.86x = 5,381.87 × 1,397.00
  4. Step 4: Simplify right side
    3,588.86x = 7,518,438.50
  5. Step 5: Solve for x
    x = 7,518,438.50/3,588.86
  6. Step 6: Final answer
    x = 2,094.94

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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.