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Finding the Fourth Proportional to 5,714.90, 7,888.29 and 3,478.76

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Solution

The fourth proportional to 5,714.90, 7,888.29 and 3,478.76 is: 4,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.90 : 7,888.29 = 3,478.76 : x
  2. Step 2: Convert to fraction form
    5,714.90/7,888.29 = 3,478.76/x
  3. Step 3: Cross multiply
    5,714.90x = 7,888.29 × 3,478.76
  4. Step 4: Simplify right side
    5,714.90x = 27,441,467.72
  5. Step 5: Solve for x
    x = 27,441,467.72/5,714.90
  6. Step 6: Final answer
    x = 4,801.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.