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Finding the Fourth Proportional to 22,165.81, 30,586.62 and 15,465.84

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Solution

The fourth proportional to 22,165.81, 30,586.62 and 15,465.84 is: 21,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.81 : 30,586.62 = 15,465.84 : x
  2. Step 2: Convert to fraction form
    22,165.81/30,586.62 = 15,465.84/x
  3. Step 3: Cross multiply
    22,165.81x = 30,586.62 × 15,465.84
  4. Step 4: Simplify right side
    22,165.81x = 473,047,714.36
  5. Step 5: Solve for x
    x = 473,047,714.36/22,165.81
  6. Step 6: Final answer
    x = 21,341.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.