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Finding the Fourth Proportional to 2,356.05, 3,534.63 and 712.61

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Solution

The fourth proportional to 2,356.05, 3,534.63 and 712.61 is: 1,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.05 : 3,534.63 = 712.61 : x
  2. Step 2: Convert to fraction form
    2,356.05/3,534.63 = 712.61/x
  3. Step 3: Cross multiply
    2,356.05x = 3,534.63 × 712.61
  4. Step 4: Simplify right side
    2,356.05x = 2,518,812.68
  5. Step 5: Solve for x
    x = 2,518,812.68/2,356.05
  6. Step 6: Final answer
    x = 1,069.08

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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.