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Finding the Fourth Proportional to 1,512.78, 2,088.06 and 883.50

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Solution

The fourth proportional to 1,512.78, 2,088.06 and 883.50 is: 1,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.78 : 2,088.06 = 883.50 : x
  2. Step 2: Convert to fraction form
    1,512.78/2,088.06 = 883.50/x
  3. Step 3: Cross multiply
    1,512.78x = 2,088.06 × 883.50
  4. Step 4: Simplify right side
    1,512.78x = 1,844,801.01
  5. Step 5: Solve for x
    x = 1,844,801.01/1,512.78
  6. Step 6: Final answer
    x = 1,219.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.