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Finding the Fourth Proportional to 5,886, 8,123.76 and 3,402

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Solution

The fourth proportional to 5,886, 8,123.76 and 3,402 is: 4,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 8,123.76 = 3,402 : x
  2. Step 2: Convert to fraction form
    5,886/8,123.76 = 3,402/x
  3. Step 3: Cross multiply
    5,886x = 8,123.76 × 3,402
  4. Step 4: Simplify right side
    5,886x = 27,637,031.52
  5. Step 5: Solve for x
    x = 27,637,031.52/5,886
  6. Step 6: Final answer
    x = 4,695.38

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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.