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Finding the Fourth Proportional to 1,859.76, 2,566.52 and 1,063.20

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Solution

The fourth proportional to 1,859.76, 2,566.52 and 1,063.20 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.76 : 2,566.52 = 1,063.20 : x
  2. Step 2: Convert to fraction form
    1,859.76/2,566.52 = 1,063.20/x
  3. Step 3: Cross multiply
    1,859.76x = 2,566.52 × 1,063.20
  4. Step 4: Simplify right side
    1,859.76x = 2,728,729.63
  5. Step 5: Solve for x
    x = 2,728,729.63/1,859.76
  6. Step 6: Final answer
    x = 1,467.25

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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.