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Finding the Fourth Proportional to 20,051.12, 30,059.40 and 9,670.16

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Solution

The fourth proportional to 20,051.12, 30,059.40 and 9,670.16 is: 14,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.12 : 30,059.40 = 9,670.16 : x
  2. Step 2: Convert to fraction form
    20,051.12/30,059.40 = 9,670.16/x
  3. Step 3: Cross multiply
    20,051.12x = 30,059.40 × 9,670.16
  4. Step 4: Simplify right side
    20,051.12x = 290,679,207.50
  5. Step 5: Solve for x
    x = 290,679,207.50/20,051.12
  6. Step 6: Final answer
    x = 14,496.91

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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.