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Finding the Fourth Proportional to 19,771.80, 29,638.80 and 9,901.14

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Solution

The fourth proportional to 19,771.80, 29,638.80 and 9,901.14 is: 14,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.80 : 29,638.80 = 9,901.14 : x
  2. Step 2: Convert to fraction form
    19,771.80/29,638.80 = 9,901.14/x
  3. Step 3: Cross multiply
    19,771.80x = 29,638.80 × 9,901.14
  4. Step 4: Simplify right side
    19,771.80x = 293,457,908.23
  5. Step 5: Solve for x
    x = 293,457,908.23/19,771.80
  6. Step 6: Final answer
    x = 14,842.25

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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.