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Finding the Fourth Proportional to 5,614.55, 8,421.80 and 4,383

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Solution

The fourth proportional to 5,614.55, 8,421.80 and 4,383 is: 6,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.55 : 8,421.80 = 4,383 : x
  2. Step 2: Convert to fraction form
    5,614.55/8,421.80 = 4,383/x
  3. Step 3: Cross multiply
    5,614.55x = 8,421.80 × 4,383
  4. Step 4: Simplify right side
    5,614.55x = 36,912,749.40
  5. Step 5: Solve for x
    x = 36,912,749.40/5,614.55
  6. Step 6: Final answer
    x = 6,574.48

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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.