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Finding the Fourth Proportional to 1,551, 2,308.86 and 1,480.20

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Solution

The fourth proportional to 1,551, 2,308.86 and 1,480.20 is: 2,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551 : 2,308.86 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    1,551/2,308.86 = 1,480.20/x
  3. Step 3: Cross multiply
    1,551x = 2,308.86 × 1,480.20
  4. Step 4: Simplify right side
    1,551x = 3,417,574.57
  5. Step 5: Solve for x
    x = 3,417,574.57/1,551
  6. Step 6: Final answer
    x = 2,203.47

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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.