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Finding the Fourth Proportional to 2,587.50, 3,572.20 and 1,980.69

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Solution

The fourth proportional to 2,587.50, 3,572.20 and 1,980.69 is: 2,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.50 : 3,572.20 = 1,980.69 : x
  2. Step 2: Convert to fraction form
    2,587.50/3,572.20 = 1,980.69/x
  3. Step 3: Cross multiply
    2,587.50x = 3,572.20 × 1,980.69
  4. Step 4: Simplify right side
    2,587.50x = 7,075,424.80
  5. Step 5: Solve for x
    x = 7,075,424.80/2,587.50
  6. Step 6: Final answer
    x = 2,734.47

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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.