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Finding the Fourth Proportional to 9,686.66, 13,368.22 and 5,438.04

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Solution

The fourth proportional to 9,686.66, 13,368.22 and 5,438.04 is: 7,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.66 : 13,368.22 = 5,438.04 : x
  2. Step 2: Convert to fraction form
    9,686.66/13,368.22 = 5,438.04/x
  3. Step 3: Cross multiply
    9,686.66x = 13,368.22 × 5,438.04
  4. Step 4: Simplify right side
    9,686.66x = 72,696,915.09
  5. Step 5: Solve for x
    x = 72,696,915.09/9,686.66
  6. Step 6: Final answer
    x = 7,504.85

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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.