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Finding the Fourth Proportional to 19,322.96, 28,994.32 and 9,202.79

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Solution

The fourth proportional to 19,322.96, 28,994.32 and 9,202.79 is: 13,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.96 : 28,994.32 = 9,202.79 : x
  2. Step 2: Convert to fraction form
    19,322.96/28,994.32 = 9,202.79/x
  3. Step 3: Cross multiply
    19,322.96x = 28,994.32 × 9,202.79
  4. Step 4: Simplify right side
    19,322.96x = 266,828,638.15
  5. Step 5: Solve for x
    x = 266,828,638.15/19,322.96
  6. Step 6: Final answer
    x = 13,808.89

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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.