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Finding the Fourth Proportional to 3,700, 5,103.84 and 2,303.20

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Solution

The fourth proportional to 3,700, 5,103.84 and 2,303.20 is: 3,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 5,103.84 = 2,303.20 : x
  2. Step 2: Convert to fraction form
    3,700/5,103.84 = 2,303.20/x
  3. Step 3: Cross multiply
    3,700x = 5,103.84 × 2,303.20
  4. Step 4: Simplify right side
    3,700x = 11,755,164.29
  5. Step 5: Solve for x
    x = 11,755,164.29/3,700
  6. Step 6: Final answer
    x = 3,177.07

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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.