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Finding the Fourth Proportional to 2,385.47, 3,576.46 and 999.21

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Solution

The fourth proportional to 2,385.47, 3,576.46 and 999.21 is: 1,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.47 : 3,576.46 = 999.21 : x
  2. Step 2: Convert to fraction form
    2,385.47/3,576.46 = 999.21/x
  3. Step 3: Cross multiply
    2,385.47x = 3,576.46 × 999.21
  4. Step 4: Simplify right side
    2,385.47x = 3,573,634.60
  5. Step 5: Solve for x
    x = 3,573,634.60/2,385.47
  6. Step 6: Final answer
    x = 1,498.08

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1.5x scale

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.