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Finding the Fourth Proportional to 8,901.60, 12,282 and 5,754

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Solution

The fourth proportional to 8,901.60, 12,282 and 5,754 is: 7,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.60 : 12,282 = 5,754 : x
  2. Step 2: Convert to fraction form
    8,901.60/12,282 = 5,754/x
  3. Step 3: Cross multiply
    8,901.60x = 12,282 × 5,754
  4. Step 4: Simplify right side
    8,901.60x = 70,670,628
  5. Step 5: Solve for x
    x = 70,670,628/8,901.60
  6. Step 6: Final answer
    x = 7,939.09

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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.