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Finding the Fourth Proportional to 32,931.84, 49,397.89 and 7,971.85

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Solution

The fourth proportional to 32,931.84, 49,397.89 and 7,971.85 is: 11,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.84 : 49,397.89 = 7,971.85 : x
  2. Step 2: Convert to fraction form
    32,931.84/49,397.89 = 7,971.85/x
  3. Step 3: Cross multiply
    32,931.84x = 49,397.89 × 7,971.85
  4. Step 4: Simplify right side
    32,931.84x = 393,792,569.40
  5. Step 5: Solve for x
    x = 393,792,569.40/32,931.84
  6. Step 6: Final answer
    x = 11,957.81

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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.