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Finding the Fourth Proportional to 3,091, 4,637.58 and 2,306.20

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Solution

The fourth proportional to 3,091, 4,637.58 and 2,306.20 is: 3,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 4,637.58 = 2,306.20 : x
  2. Step 2: Convert to fraction form
    3,091/4,637.58 = 2,306.20/x
  3. Step 3: Cross multiply
    3,091x = 4,637.58 × 2,306.20
  4. Step 4: Simplify right side
    3,091x = 10,695,187.00
  5. Step 5: Solve for x
    x = 10,695,187.00/3,091
  6. Step 6: Final answer
    x = 3,460.11

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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.