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Finding the Fourth Proportional to 7,809.58, 10,781.13 and 5,304.94

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Solution

The fourth proportional to 7,809.58, 10,781.13 and 5,304.94 is: 7,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.58 : 10,781.13 = 5,304.94 : x
  2. Step 2: Convert to fraction form
    7,809.58/10,781.13 = 5,304.94/x
  3. Step 3: Cross multiply
    7,809.58x = 10,781.13 × 5,304.94
  4. Step 4: Simplify right side
    7,809.58x = 57,193,247.78
  5. Step 5: Solve for x
    x = 57,193,247.78/7,809.58
  6. Step 6: Final answer
    x = 7,323.47

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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.