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Finding the Fourth Proportional to 7,088, 9,781.44 and 4,144

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Solution

The fourth proportional to 7,088, 9,781.44 and 4,144 is: 5,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088 : 9,781.44 = 4,144 : x
  2. Step 2: Convert to fraction form
    7,088/9,781.44 = 4,144/x
  3. Step 3: Cross multiply
    7,088x = 9,781.44 × 4,144
  4. Step 4: Simplify right side
    7,088x = 40,534,287.36
  5. Step 5: Solve for x
    x = 40,534,287.36/7,088
  6. Step 6: Final answer
    x = 5,718.72

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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.