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Finding the Fourth Proportional to 8,721.09, 12,035 and 4,742.12

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Solution

The fourth proportional to 8,721.09, 12,035 and 4,742.12 is: 6,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.09 : 12,035 = 4,742.12 : x
  2. Step 2: Convert to fraction form
    8,721.09/12,035 = 4,742.12/x
  3. Step 3: Cross multiply
    8,721.09x = 12,035 × 4,742.12
  4. Step 4: Simplify right side
    8,721.09x = 57,071,354.03
  5. Step 5: Solve for x
    x = 57,071,354.03/8,721.09
  6. Step 6: Final answer
    x = 6,544.07

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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.