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Finding the Fourth Proportional to 15,441, 21,313.80 and 9,624.66

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Solution

The fourth proportional to 15,441, 21,313.80 and 9,624.66 is: 13,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441 : 21,313.80 = 9,624.66 : x
  2. Step 2: Convert to fraction form
    15,441/21,313.80 = 9,624.66/x
  3. Step 3: Cross multiply
    15,441x = 21,313.80 × 9,624.66
  4. Step 4: Simplify right side
    15,441x = 205,138,078.31
  5. Step 5: Solve for x
    x = 205,138,078.31/15,441
  6. Step 6: Final answer
    x = 13,285.28

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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.