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Finding the Fourth Proportional to 15,219, 22,828.55 and 5,985

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Solution

The fourth proportional to 15,219, 22,828.55 and 5,985 is: 8,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219 : 22,828.55 = 5,985 : x
  2. Step 2: Convert to fraction form
    15,219/22,828.55 = 5,985/x
  3. Step 3: Cross multiply
    15,219x = 22,828.55 × 5,985
  4. Step 4: Simplify right side
    15,219x = 136,628,841.83
  5. Step 5: Solve for x
    x = 136,628,841.83/15,219
  6. Step 6: Final answer
    x = 8,977.52

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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.