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Finding the Fourth Proportional to 2,088.65, 3,132.86 and 528.63

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Solution

The fourth proportional to 2,088.65, 3,132.86 and 528.63 is: 792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.65 : 3,132.86 = 528.63 : x
  2. Step 2: Convert to fraction form
    2,088.65/3,132.86 = 528.63/x
  3. Step 3: Cross multiply
    2,088.65x = 3,132.86 × 528.63
  4. Step 4: Simplify right side
    2,088.65x = 1,656,121.14
  5. Step 5: Solve for x
    x = 1,656,121.14/2,088.65
  6. Step 6: Final answer
    x = 792.92

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Why These Related Problems?

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