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Finding the Fourth Proportional to 2,587.76, 3,570.90 and 1,803.50

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Solution

The fourth proportional to 2,587.76, 3,570.90 and 1,803.50 is: 2,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.76 : 3,570.90 = 1,803.50 : x
  2. Step 2: Convert to fraction form
    2,587.76/3,570.90 = 1,803.50/x
  3. Step 3: Cross multiply
    2,587.76x = 3,570.90 × 1,803.50
  4. Step 4: Simplify right side
    2,587.76x = 6,440,118.15
  5. Step 5: Solve for x
    x = 6,440,118.15/2,587.76
  6. Step 6: Final answer
    x = 2,488.68

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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.