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Finding the Fourth Proportional to 2,371, 3,271.20 and 1,487.32

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Solution

The fourth proportional to 2,371, 3,271.20 and 1,487.32 is: 2,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 3,271.20 = 1,487.32 : x
  2. Step 2: Convert to fraction form
    2,371/3,271.20 = 1,487.32/x
  3. Step 3: Cross multiply
    2,371x = 3,271.20 × 1,487.32
  4. Step 4: Simplify right side
    2,371x = 4,865,321.18
  5. Step 5: Solve for x
    x = 4,865,321.18/2,371
  6. Step 6: Final answer
    x = 2,052.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.