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Finding the Fourth Proportional to 1,143.86, 1,715.78 and 1,054.68

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Solution

The fourth proportional to 1,143.86, 1,715.78 and 1,054.68 is: 1,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.86 : 1,715.78 = 1,054.68 : x
  2. Step 2: Convert to fraction form
    1,143.86/1,715.78 = 1,054.68/x
  3. Step 3: Cross multiply
    1,143.86x = 1,715.78 × 1,054.68
  4. Step 4: Simplify right side
    1,143.86x = 1,809,593.58
  5. Step 5: Solve for x
    x = 1,809,593.58/1,143.86
  6. Step 6: Final answer
    x = 1,582.01

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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.