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Finding the Fourth Proportional to 1,891.76, 2,610.48 and 1,106.08

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Solution

The fourth proportional to 1,891.76, 2,610.48 and 1,106.08 is: 1,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.76 : 2,610.48 = 1,106.08 : x
  2. Step 2: Convert to fraction form
    1,891.76/2,610.48 = 1,106.08/x
  3. Step 3: Cross multiply
    1,891.76x = 2,610.48 × 1,106.08
  4. Step 4: Simplify right side
    1,891.76x = 2,887,399.72
  5. Step 5: Solve for x
    x = 2,887,399.72/1,891.76
  6. Step 6: Final answer
    x = 1,526.30

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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.