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Finding the Fourth Proportional to 3,714.40, 5,572.40 and 1,117.60

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Solution

The fourth proportional to 3,714.40, 5,572.40 and 1,117.60 is: 1,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.40 : 5,572.40 = 1,117.60 : x
  2. Step 2: Convert to fraction form
    3,714.40/5,572.40 = 1,117.60/x
  3. Step 3: Cross multiply
    3,714.40x = 5,572.40 × 1,117.60
  4. Step 4: Simplify right side
    3,714.40x = 6,227,714.24
  5. Step 5: Solve for x
    x = 6,227,714.24/3,714.40
  6. Step 6: Final answer
    x = 1,676.64

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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.