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Finding the Fourth Proportional to 1,512, 2,085.50 and 1,461.20

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Solution

The fourth proportional to 1,512, 2,085.50 and 1,461.20 is: 2,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512 : 2,085.50 = 1,461.20 : x
  2. Step 2: Convert to fraction form
    1,512/2,085.50 = 1,461.20/x
  3. Step 3: Cross multiply
    1,512x = 2,085.50 × 1,461.20
  4. Step 4: Simplify right side
    1,512x = 3,047,314.87
  5. Step 5: Solve for x
    x = 3,047,314.87/1,512
  6. Step 6: Final answer
    x = 2,015.42

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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.