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Finding the Fourth Proportional to 9,876.84, 13,637.17 and 6,105.17

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Solution

The fourth proportional to 9,876.84, 13,637.17 and 6,105.17 is: 8,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.84 : 13,637.17 = 6,105.17 : x
  2. Step 2: Convert to fraction form
    9,876.84/13,637.17 = 6,105.17/x
  3. Step 3: Cross multiply
    9,876.84x = 13,637.17 × 6,105.17
  4. Step 4: Simplify right side
    9,876.84x = 83,257,291.48
  5. Step 5: Solve for x
    x = 83,257,291.48/9,876.84
  6. Step 6: Final answer
    x = 8,429.55

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1.5x scale

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.