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Finding the Fourth Proportional to 1,459.63, 2,178.86 and 1,255.51

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Solution

The fourth proportional to 1,459.63, 2,178.86 and 1,255.51 is: 1,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.63 : 2,178.86 = 1,255.51 : x
  2. Step 2: Convert to fraction form
    1,459.63/2,178.86 = 1,255.51/x
  3. Step 3: Cross multiply
    1,459.63x = 2,178.86 × 1,255.51
  4. Step 4: Simplify right side
    1,459.63x = 2,735,580.52
  5. Step 5: Solve for x
    x = 2,735,580.52/1,459.63
  6. Step 6: Final answer
    x = 1,874.16

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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.