Home / 2,714.48-4,070.28-982.16

Finding the Fourth Proportional to 2,714.48, 4,070.28 and 982.16

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Solution

The fourth proportional to 2,714.48, 4,070.28 and 982.16 is: 1,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.48 : 4,070.28 = 982.16 : x
  2. Step 2: Convert to fraction form
    2,714.48/4,070.28 = 982.16/x
  3. Step 3: Cross multiply
    2,714.48x = 4,070.28 × 982.16
  4. Step 4: Simplify right side
    2,714.48x = 3,997,666.20
  5. Step 5: Solve for x
    x = 3,997,666.20/2,714.48
  6. Step 6: Final answer
    x = 1,472.72

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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.