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Finding the Fourth Proportional to 1,859.10, 2,565.59 and 1,019.80

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Solution

The fourth proportional to 1,859.10, 2,565.59 and 1,019.80 is: 1,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.10 : 2,565.59 = 1,019.80 : x
  2. Step 2: Convert to fraction form
    1,859.10/2,565.59 = 1,019.80/x
  3. Step 3: Cross multiply
    1,859.10x = 2,565.59 × 1,019.80
  4. Step 4: Simplify right side
    1,859.10x = 2,616,388.68
  5. Step 5: Solve for x
    x = 2,616,388.68/1,859.10
  6. Step 6: Final answer
    x = 1,407.34

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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.