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Finding the Fourth Proportional to 1,888.47, 2,830.43 and 1,424.70

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Solution

The fourth proportional to 1,888.47, 2,830.43 and 1,424.70 is: 2,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.47 : 2,830.43 = 1,424.70 : x
  2. Step 2: Convert to fraction form
    1,888.47/2,830.43 = 1,424.70/x
  3. Step 3: Cross multiply
    1,888.47x = 2,830.43 × 1,424.70
  4. Step 4: Simplify right side
    1,888.47x = 4,032,517.18
  5. Step 5: Solve for x
    x = 4,032,517.18/1,888.47
  6. Step 6: Final answer
    x = 2,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.