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Finding the Fourth Proportional to 3,023.64, 4,537 and 1,380

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Solution

The fourth proportional to 3,023.64, 4,537 and 1,380 is: 2,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.64 : 4,537 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,023.64/4,537 = 1,380/x
  3. Step 3: Cross multiply
    3,023.64x = 4,537 × 1,380
  4. Step 4: Simplify right side
    3,023.64x = 6,261,060
  5. Step 5: Solve for x
    x = 6,261,060/3,023.64
  6. Step 6: Final answer
    x = 2,070.70

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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.