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Finding the Fourth Proportional to 15,706.46, 21,679.96 and 10,056.42

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Solution

The fourth proportional to 15,706.46, 21,679.96 and 10,056.42 is: 13,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.46 : 21,679.96 = 10,056.42 : x
  2. Step 2: Convert to fraction form
    15,706.46/21,679.96 = 10,056.42/x
  3. Step 3: Cross multiply
    15,706.46x = 21,679.96 × 10,056.42
  4. Step 4: Simplify right side
    15,706.46x = 218,022,862.68
  5. Step 5: Solve for x
    x = 218,022,862.68/15,706.46
  6. Step 6: Final answer
    x = 13,881.10

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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.