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Finding the Fourth Proportional to 8,721.84, 11,989.75 and 7,506.10

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Solution

The fourth proportional to 8,721.84, 11,989.75 and 7,506.10 is: 10,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.84 : 11,989.75 = 7,506.10 : x
  2. Step 2: Convert to fraction form
    8,721.84/11,989.75 = 7,506.10/x
  3. Step 3: Cross multiply
    8,721.84x = 11,989.75 × 7,506.10
  4. Step 4: Simplify right side
    8,721.84x = 89,996,262.48
  5. Step 5: Solve for x
    x = 89,996,262.48/8,721.84
  6. Step 6: Final answer
    x = 10,318.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.