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Finding the Fourth Proportional to 1,612.90, 2,225.10 and 1,053.46

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Solution

The fourth proportional to 1,612.90, 2,225.10 and 1,053.46 is: 1,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.90 : 2,225.10 = 1,053.46 : x
  2. Step 2: Convert to fraction form
    1,612.90/2,225.10 = 1,053.46/x
  3. Step 3: Cross multiply
    1,612.90x = 2,225.10 × 1,053.46
  4. Step 4: Simplify right side
    1,612.90x = 2,344,053.85
  5. Step 5: Solve for x
    x = 2,344,053.85/1,612.90
  6. Step 6: Final answer
    x = 1,453.32

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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.