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Finding the Fourth Proportional to 2,587.34, 3,570.50 and 1,408.42

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Solution

The fourth proportional to 2,587.34, 3,570.50 and 1,408.42 is: 1,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.34 : 3,570.50 = 1,408.42 : x
  2. Step 2: Convert to fraction form
    2,587.34/3,570.50 = 1,408.42/x
  3. Step 3: Cross multiply
    2,587.34x = 3,570.50 × 1,408.42
  4. Step 4: Simplify right side
    2,587.34x = 5,028,763.61
  5. Step 5: Solve for x
    x = 5,028,763.61/2,587.34
  6. Step 6: Final answer
    x = 1,943.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.