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Finding the Fourth Proportional to 15,916.50, 23,878.40 and 5,528.25

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Solution

The fourth proportional to 15,916.50, 23,878.40 and 5,528.25 is: 8,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.50 : 23,878.40 = 5,528.25 : x
  2. Step 2: Convert to fraction form
    15,916.50/23,878.40 = 5,528.25/x
  3. Step 3: Cross multiply
    15,916.50x = 23,878.40 × 5,528.25
  4. Step 4: Simplify right side
    15,916.50x = 132,005,737.16
  5. Step 5: Solve for x
    x = 132,005,737.16/15,916.50
  6. Step 6: Final answer
    x = 8,293.64

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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.