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Finding the Fourth Proportional to 7,529, 10,377.06 and 7,077.56

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Solution

The fourth proportional to 7,529, 10,377.06 and 7,077.56 is: 9,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529 : 10,377.06 = 7,077.56 : x
  2. Step 2: Convert to fraction form
    7,529/10,377.06 = 7,077.56/x
  3. Step 3: Cross multiply
    7,529x = 10,377.06 × 7,077.56
  4. Step 4: Simplify right side
    7,529x = 73,444,264.77
  5. Step 5: Solve for x
    x = 73,444,264.77/7,529
  6. Step 6: Final answer
    x = 9,754.85

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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.