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Finding the Fourth Proportional to 1,858.95, 2,565.34 and 1,019.63

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Solution

The fourth proportional to 1,858.95, 2,565.34 and 1,019.63 is: 1,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.95 : 2,565.34 = 1,019.63 : x
  2. Step 2: Convert to fraction form
    1,858.95/2,565.34 = 1,019.63/x
  3. Step 3: Cross multiply
    1,858.95x = 2,565.34 × 1,019.63
  4. Step 4: Simplify right side
    1,858.95x = 2,615,679.70
  5. Step 5: Solve for x
    x = 2,615,679.70/1,858.95
  6. Step 6: Final answer
    x = 1,407.08

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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.