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Finding the Fourth Proportional to 3,779.34, 5,670 and 1,439.40

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Solution

The fourth proportional to 3,779.34, 5,670 and 1,439.40 is: 2,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.34 : 5,670 = 1,439.40 : x
  2. Step 2: Convert to fraction form
    3,779.34/5,670 = 1,439.40/x
  3. Step 3: Cross multiply
    3,779.34x = 5,670 × 1,439.40
  4. Step 4: Simplify right side
    3,779.34x = 8,161,398.00
  5. Step 5: Solve for x
    x = 8,161,398.00/3,779.34
  6. Step 6: Final answer
    x = 2,159.48

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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.