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Finding the Fourth Proportional to 9,476.81, 14,215.21 and 2,902.15

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Solution

The fourth proportional to 9,476.81, 14,215.21 and 2,902.15 is: 4,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.81 : 14,215.21 = 2,902.15 : x
  2. Step 2: Convert to fraction form
    9,476.81/14,215.21 = 2,902.15/x
  3. Step 3: Cross multiply
    9,476.81x = 14,215.21 × 2,902.15
  4. Step 4: Simplify right side
    9,476.81x = 41,254,628.91
  5. Step 5: Solve for x
    x = 41,254,628.91/9,476.81
  6. Step 6: Final answer
    x = 4,353.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.