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Finding the Fourth Proportional to 1,531.51, 2,113.49 and 902.06

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Solution

The fourth proportional to 1,531.51, 2,113.49 and 902.06 is: 1,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.51 : 2,113.49 = 902.06 : x
  2. Step 2: Convert to fraction form
    1,531.51/2,113.49 = 902.06/x
  3. Step 3: Cross multiply
    1,531.51x = 2,113.49 × 902.06
  4. Step 4: Simplify right side
    1,531.51x = 1,906,490.28
  5. Step 5: Solve for x
    x = 1,906,490.28/1,531.51
  6. Step 6: Final answer
    x = 1,244.84

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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.