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Finding the Fourth Proportional to 18,577, 27,867.12 and 4,726

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Solution

The fourth proportional to 18,577, 27,867.12 and 4,726 is: 7,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577 : 27,867.12 = 4,726 : x
  2. Step 2: Convert to fraction form
    18,577/27,867.12 = 4,726/x
  3. Step 3: Cross multiply
    18,577x = 27,867.12 × 4,726
  4. Step 4: Simplify right side
    18,577x = 131,700,009.12
  5. Step 5: Solve for x
    x = 131,700,009.12/18,577
  6. Step 6: Final answer
    x = 7,089.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.