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Finding the Fourth Proportional to 7,780.65, 10,737.73 and 7,255.77

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Solution

The fourth proportional to 7,780.65, 10,737.73 and 7,255.77 is: 10,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.65 : 10,737.73 = 7,255.77 : x
  2. Step 2: Convert to fraction form
    7,780.65/10,737.73 = 7,255.77/x
  3. Step 3: Cross multiply
    7,780.65x = 10,737.73 × 7,255.77
  4. Step 4: Simplify right side
    7,780.65x = 77,910,499.20
  5. Step 5: Solve for x
    x = 77,910,499.20/7,780.65
  6. Step 6: Final answer
    x = 10,013.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.