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Finding the Fourth Proportional to 5,139, 7,714.05 and 2,547.42

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Solution

The fourth proportional to 5,139, 7,714.05 and 2,547.42 is: 3,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139 : 7,714.05 = 2,547.42 : x
  2. Step 2: Convert to fraction form
    5,139/7,714.05 = 2,547.42/x
  3. Step 3: Cross multiply
    5,139x = 7,714.05 × 2,547.42
  4. Step 4: Simplify right side
    5,139x = 19,650,925.25
  5. Step 5: Solve for x
    x = 19,650,925.25/5,139
  6. Step 6: Final answer
    x = 3,823.88

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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.