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Finding the Fourth Proportional to 7,807.14, 10,761.93 and 6,917.22

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Solution

The fourth proportional to 7,807.14, 10,761.93 and 6,917.22 is: 9,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.14 : 10,761.93 = 6,917.22 : x
  2. Step 2: Convert to fraction form
    7,807.14/10,761.93 = 6,917.22/x
  3. Step 3: Cross multiply
    7,807.14x = 10,761.93 × 6,917.22
  4. Step 4: Simplify right side
    7,807.14x = 74,442,637.43
  5. Step 5: Solve for x
    x = 74,442,637.43/7,807.14
  6. Step 6: Final answer
    x = 9,535.20

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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.