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Finding the Fourth Proportional to 10,500.75, 15,750.90 and 4,956.69

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Solution

The fourth proportional to 10,500.75, 15,750.90 and 4,956.69 is: 7,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.75 : 15,750.90 = 4,956.69 : x
  2. Step 2: Convert to fraction form
    10,500.75/15,750.90 = 4,956.69/x
  3. Step 3: Cross multiply
    10,500.75x = 15,750.90 × 4,956.69
  4. Step 4: Simplify right side
    10,500.75x = 78,072,328.52
  5. Step 5: Solve for x
    x = 78,072,328.52/10,500.75
  6. Step 6: Final answer
    x = 7,434.93

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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.