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Finding the Fourth Proportional to 5,875.84, 8,109.76 and 3,392

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Solution

The fourth proportional to 5,875.84, 8,109.76 and 3,392 is: 4,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.84 : 8,109.76 = 3,392 : x
  2. Step 2: Convert to fraction form
    5,875.84/8,109.76 = 3,392/x
  3. Step 3: Cross multiply
    5,875.84x = 8,109.76 × 3,392
  4. Step 4: Simplify right side
    5,875.84x = 27,508,305.92
  5. Step 5: Solve for x
    x = 27,508,305.92/5,875.84
  6. Step 6: Final answer
    x = 4,681.60

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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.