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Finding the Fourth Proportional to 1,409.86, 1,943.74 and 1,156.86

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Solution

The fourth proportional to 1,409.86, 1,943.74 and 1,156.86 is: 1,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.86 : 1,943.74 = 1,156.86 : x
  2. Step 2: Convert to fraction form
    1,409.86/1,943.74 = 1,156.86/x
  3. Step 3: Cross multiply
    1,409.86x = 1,943.74 × 1,156.86
  4. Step 4: Simplify right side
    1,409.86x = 2,248,637.95
  5. Step 5: Solve for x
    x = 2,248,637.95/1,409.86
  6. Step 6: Final answer
    x = 1,594.94

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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.