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Finding the Fourth Proportional to 7,810.16, 11,714.16 and 2,879.80

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Solution

The fourth proportional to 7,810.16, 11,714.16 and 2,879.80 is: 4,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.16 : 11,714.16 = 2,879.80 : x
  2. Step 2: Convert to fraction form
    7,810.16/11,714.16 = 2,879.80/x
  3. Step 3: Cross multiply
    7,810.16x = 11,714.16 × 2,879.80
  4. Step 4: Simplify right side
    7,810.16x = 33,734,437.97
  5. Step 5: Solve for x
    x = 33,734,437.97/7,810.16
  6. Step 6: Final answer
    x = 4,319.30

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1.5x scale

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.