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Finding the Fourth Proportional to 21,585.20, 32,392.47 and 7,734.20

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Solution

The fourth proportional to 21,585.20, 32,392.47 and 7,734.20 is: 11,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.20 : 32,392.47 = 7,734.20 : x
  2. Step 2: Convert to fraction form
    21,585.20/32,392.47 = 7,734.20/x
  3. Step 3: Cross multiply
    21,585.20x = 32,392.47 × 7,734.20
  4. Step 4: Simplify right side
    21,585.20x = 250,529,679.51
  5. Step 5: Solve for x
    x = 250,529,679.51/21,585.20
  6. Step 6: Final answer
    x = 11,606.55

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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.