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Finding the Fourth Proportional to 7,761.66, 10,703.64 and 5,215.17

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Solution

The fourth proportional to 7,761.66, 10,703.64 and 5,215.17 is: 7,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.66 : 10,703.64 = 5,215.17 : x
  2. Step 2: Convert to fraction form
    7,761.66/10,703.64 = 5,215.17/x
  3. Step 3: Cross multiply
    7,761.66x = 10,703.64 × 5,215.17
  4. Step 4: Simplify right side
    7,761.66x = 55,821,302.22
  5. Step 5: Solve for x
    x = 55,821,302.22/7,761.66
  6. Step 6: Final answer
    x = 7,191.93

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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.