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Finding the Fourth Proportional to 1,531.07, 2,112.89 and 901.63

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Solution

The fourth proportional to 1,531.07, 2,112.89 and 901.63 is: 1,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.07 : 2,112.89 = 901.63 : x
  2. Step 2: Convert to fraction form
    1,531.07/2,112.89 = 901.63/x
  3. Step 3: Cross multiply
    1,531.07x = 2,112.89 × 901.63
  4. Step 4: Simplify right side
    1,531.07x = 1,905,029.94
  5. Step 5: Solve for x
    x = 1,905,029.94/1,531.07
  6. Step 6: Final answer
    x = 1,244.25

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1.5x scale

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.