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Finding the Fourth Proportional to 19,620.16, 29,428.62 and 9,088

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Solution

The fourth proportional to 19,620.16, 29,428.62 and 9,088 is: 13,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620.16 : 29,428.62 = 9,088 : x
  2. Step 2: Convert to fraction form
    19,620.16/29,428.62 = 9,088/x
  3. Step 3: Cross multiply
    19,620.16x = 29,428.62 × 9,088
  4. Step 4: Simplify right side
    19,620.16x = 267,447,298.56
  5. Step 5: Solve for x
    x = 267,447,298.56/19,620.16
  6. Step 6: Final answer
    x = 13,631.25

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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.