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Finding the Fourth Proportional to 1,416.76, 1,953.92 and 1,121.51

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Solution

The fourth proportional to 1,416.76, 1,953.92 and 1,121.51 is: 1,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.76 : 1,953.92 = 1,121.51 : x
  2. Step 2: Convert to fraction form
    1,416.76/1,953.92 = 1,121.51/x
  3. Step 3: Cross multiply
    1,416.76x = 1,953.92 × 1,121.51
  4. Step 4: Simplify right side
    1,416.76x = 2,191,348.51
  5. Step 5: Solve for x
    x = 2,191,348.51/1,416.76
  6. Step 6: Final answer
    x = 1,546.74

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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.