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Finding the Fourth Proportional to 10,373, 15,559.50 and 3,077

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Solution

The fourth proportional to 10,373, 15,559.50 and 3,077 is: 4,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373 : 15,559.50 = 3,077 : x
  2. Step 2: Convert to fraction form
    10,373/15,559.50 = 3,077/x
  3. Step 3: Cross multiply
    10,373x = 15,559.50 × 3,077
  4. Step 4: Simplify right side
    10,373x = 47,876,581.50
  5. Step 5: Solve for x
    x = 47,876,581.50/10,373
  6. Step 6: Final answer
    x = 4,615.50

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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.