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Finding the Fourth Proportional to 7,038.72, 10,560.42 and 3,340.50

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Solution

The fourth proportional to 7,038.72, 10,560.42 and 3,340.50 is: 5,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.72 : 10,560.42 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    7,038.72/10,560.42 = 3,340.50/x
  3. Step 3: Cross multiply
    7,038.72x = 10,560.42 × 3,340.50
  4. Step 4: Simplify right side
    7,038.72x = 35,277,083.01
  5. Step 5: Solve for x
    x = 35,277,083.01/7,038.72
  6. Step 6: Final answer
    x = 5,011.86

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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.