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Finding the Fourth Proportional to 9,204.78, 13,871.95 and 8,328.46

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Solution

The fourth proportional to 9,204.78, 13,871.95 and 8,328.46 is: 12,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.78 : 13,871.95 = 8,328.46 : x
  2. Step 2: Convert to fraction form
    9,204.78/13,871.95 = 8,328.46/x
  3. Step 3: Cross multiply
    9,204.78x = 13,871.95 × 8,328.46
  4. Step 4: Simplify right side
    9,204.78x = 115,531,980.70
  5. Step 5: Solve for x
    x = 115,531,980.70/9,204.78
  6. Step 6: Final answer
    x = 12,551.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.