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Finding the Fourth Proportional to 15,626, 21,566.44 and 9,005.84

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Solution

The fourth proportional to 15,626, 21,566.44 and 9,005.84 is: 12,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,626 : 21,566.44 = 9,005.84 : x
  2. Step 2: Convert to fraction form
    15,626/21,566.44 = 9,005.84/x
  3. Step 3: Cross multiply
    15,626x = 21,566.44 × 9,005.84
  4. Step 4: Simplify right side
    15,626x = 194,223,908.01
  5. Step 5: Solve for x
    x = 194,223,908.01/15,626
  6. Step 6: Final answer
    x = 12,429.53

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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.