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Finding the Fourth Proportional to 1,625.16, 2,241.07 and 1,065.05

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Solution

The fourth proportional to 1,625.16, 2,241.07 and 1,065.05 is: 1,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.16 : 2,241.07 = 1,065.05 : x
  2. Step 2: Convert to fraction form
    1,625.16/2,241.07 = 1,065.05/x
  3. Step 3: Cross multiply
    1,625.16x = 2,241.07 × 1,065.05
  4. Step 4: Simplify right side
    1,625.16x = 2,386,846.14
  5. Step 5: Solve for x
    x = 2,386,846.14/1,625.16
  6. Step 6: Final answer
    x = 1,468.68

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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.