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Finding the Fourth Proportional to 14,432, 19,916.16 and 7,808

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Solution

The fourth proportional to 14,432, 19,916.16 and 7,808 is: 10,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 19,916.16 = 7,808 : x
  2. Step 2: Convert to fraction form
    14,432/19,916.16 = 7,808/x
  3. Step 3: Cross multiply
    14,432x = 19,916.16 × 7,808
  4. Step 4: Simplify right side
    14,432x = 155,505,377.28
  5. Step 5: Solve for x
    x = 155,505,377.28/14,432
  6. Step 6: Final answer
    x = 10,775.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.