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Finding the Fourth Proportional to 7,779.70, 10,738.29 and 7,382.86

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Solution

The fourth proportional to 7,779.70, 10,738.29 and 7,382.86 is: 10,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.70 : 10,738.29 = 7,382.86 : x
  2. Step 2: Convert to fraction form
    7,779.70/10,738.29 = 7,382.86/x
  3. Step 3: Cross multiply
    7,779.70x = 10,738.29 × 7,382.86
  4. Step 4: Simplify right side
    7,779.70x = 79,279,291.71
  5. Step 5: Solve for x
    x = 79,279,291.71/7,779.70
  6. Step 6: Final answer
    x = 10,190.53

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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.