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Finding the Fourth Proportional to 2,827.50, 3,901.98 and 1,585.50

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Solution

The fourth proportional to 2,827.50, 3,901.98 and 1,585.50 is: 2,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.50 : 3,901.98 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    2,827.50/3,901.98 = 1,585.50/x
  3. Step 3: Cross multiply
    2,827.50x = 3,901.98 × 1,585.50
  4. Step 4: Simplify right side
    2,827.50x = 6,186,589.29
  5. Step 5: Solve for x
    x = 6,186,589.29/2,827.50
  6. Step 6: Final answer
    x = 2,188.01

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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.