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Finding the Fourth Proportional to 2,138, 2,948.34 and 1,298.84

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Solution

The fourth proportional to 2,138, 2,948.34 and 1,298.84 is: 1,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138 : 2,948.34 = 1,298.84 : x
  2. Step 2: Convert to fraction form
    2,138/2,948.34 = 1,298.84/x
  3. Step 3: Cross multiply
    2,138x = 2,948.34 × 1,298.84
  4. Step 4: Simplify right side
    2,138x = 3,829,421.93
  5. Step 5: Solve for x
    x = 3,829,421.93/2,138
  6. Step 6: Final answer
    x = 1,791.12

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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.