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Finding the Fourth Proportional to 4,890.64, 7,335.30 and 1,380.40

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Solution

The fourth proportional to 4,890.64, 7,335.30 and 1,380.40 is: 2,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.64 : 7,335.30 = 1,380.40 : x
  2. Step 2: Convert to fraction form
    4,890.64/7,335.30 = 1,380.40/x
  3. Step 3: Cross multiply
    4,890.64x = 7,335.30 × 1,380.40
  4. Step 4: Simplify right side
    4,890.64x = 10,125,648.12
  5. Step 5: Solve for x
    x = 10,125,648.12/4,890.64
  6. Step 6: Final answer
    x = 2,070.41

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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.