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Finding the Fourth Proportional to 2,557.84, 3,529.84 and 1,438.77

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Solution

The fourth proportional to 2,557.84, 3,529.84 and 1,438.77 is: 1,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.84 : 3,529.84 = 1,438.77 : x
  2. Step 2: Convert to fraction form
    2,557.84/3,529.84 = 1,438.77/x
  3. Step 3: Cross multiply
    2,557.84x = 3,529.84 × 1,438.77
  4. Step 4: Simplify right side
    2,557.84x = 5,078,631.49
  5. Step 5: Solve for x
    x = 5,078,631.49/2,557.84
  6. Step 6: Final answer
    x = 1,985.51

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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.