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Finding the Fourth Proportional to 16,915.36, 25,369 and 6,386.40

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Solution

The fourth proportional to 16,915.36, 25,369 and 6,386.40 is: 9,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.36 : 25,369 = 6,386.40 : x
  2. Step 2: Convert to fraction form
    16,915.36/25,369 = 6,386.40/x
  3. Step 3: Cross multiply
    16,915.36x = 25,369 × 6,386.40
  4. Step 4: Simplify right side
    16,915.36x = 162,016,581.60
  5. Step 5: Solve for x
    x = 162,016,581.60/16,915.36
  6. Step 6: Final answer
    x = 9,578.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.