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Finding the Fourth Proportional to 2,454, 3,385.80 and 1,458.78

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Solution

The fourth proportional to 2,454, 3,385.80 and 1,458.78 is: 2,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454 : 3,385.80 = 1,458.78 : x
  2. Step 2: Convert to fraction form
    2,454/3,385.80 = 1,458.78/x
  3. Step 3: Cross multiply
    2,454x = 3,385.80 × 1,458.78
  4. Step 4: Simplify right side
    2,454x = 4,939,137.32
  5. Step 5: Solve for x
    x = 4,939,137.32/2,454
  6. Step 6: Final answer
    x = 2,012.69

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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.