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Finding the Fourth Proportional to 2,088.58, 3,132.87 and 856.57

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Solution

The fourth proportional to 2,088.58, 3,132.87 and 856.57 is: 1,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.58 : 3,132.87 = 856.57 : x
  2. Step 2: Convert to fraction form
    2,088.58/3,132.87 = 856.57/x
  3. Step 3: Cross multiply
    2,088.58x = 3,132.87 × 856.57
  4. Step 4: Simplify right side
    2,088.58x = 2,683,522.46
  5. Step 5: Solve for x
    x = 2,683,522.46/2,088.58
  6. Step 6: Final answer
    x = 1,284.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.