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Finding the Fourth Proportional to 19,705.53, 29,541.64 and 9,170.11

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Solution

The fourth proportional to 19,705.53, 29,541.64 and 9,170.11 is: 13,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.53 : 29,541.64 = 9,170.11 : x
  2. Step 2: Convert to fraction form
    19,705.53/29,541.64 = 9,170.11/x
  3. Step 3: Cross multiply
    19,705.53x = 29,541.64 × 9,170.11
  4. Step 4: Simplify right side
    19,705.53x = 270,900,088.38
  5. Step 5: Solve for x
    x = 270,900,088.38/19,705.53
  6. Step 6: Final answer
    x = 13,747.41

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1.5x scale

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.