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Finding the Fourth Proportional to 13,557, 20,314.52 and 9,405.08

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Solution

The fourth proportional to 13,557, 20,314.52 and 9,405.08 is: 14,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557 : 20,314.52 = 9,405.08 : x
  2. Step 2: Convert to fraction form
    13,557/20,314.52 = 9,405.08/x
  3. Step 3: Cross multiply
    13,557x = 20,314.52 × 9,405.08
  4. Step 4: Simplify right side
    13,557x = 191,059,685.76
  5. Step 5: Solve for x
    x = 191,059,685.76/13,557
  6. Step 6: Final answer
    x = 14,093.07

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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.