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Finding the Fourth Proportional to 14,439, 19,925.82 and 7,815

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Solution

The fourth proportional to 14,439, 19,925.82 and 7,815 is: 10,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439 : 19,925.82 = 7,815 : x
  2. Step 2: Convert to fraction form
    14,439/19,925.82 = 7,815/x
  3. Step 3: Cross multiply
    14,439x = 19,925.82 × 7,815
  4. Step 4: Simplify right side
    14,439x = 155,720,283.30
  5. Step 5: Solve for x
    x = 155,720,283.30/14,439
  6. Step 6: Final answer
    x = 10,784.70

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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.