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Finding the Fourth Proportional to 32,902.16, 49,361.36 and 9,528.28

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Solution

The fourth proportional to 32,902.16, 49,361.36 and 9,528.28 is: 14,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.16 : 49,361.36 = 9,528.28 : x
  2. Step 2: Convert to fraction form
    32,902.16/49,361.36 = 9,528.28/x
  3. Step 3: Cross multiply
    32,902.16x = 49,361.36 × 9,528.28
  4. Step 4: Simplify right side
    32,902.16x = 470,328,859.26
  5. Step 5: Solve for x
    x = 470,328,859.26/32,902.16
  6. Step 6: Final answer
    x = 14,294.77

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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.