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Finding the Fourth Proportional to 1,415.40, 2,110.40 and 1,344.84

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Solution

The fourth proportional to 1,415.40, 2,110.40 and 1,344.84 is: 2,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.40 : 2,110.40 = 1,344.84 : x
  2. Step 2: Convert to fraction form
    1,415.40/2,110.40 = 1,344.84/x
  3. Step 3: Cross multiply
    1,415.40x = 2,110.40 × 1,344.84
  4. Step 4: Simplify right side
    1,415.40x = 2,838,150.34
  5. Step 5: Solve for x
    x = 2,838,150.34/1,415.40
  6. Step 6: Final answer
    x = 2,005.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.