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Finding the Fourth Proportional to 12,519, 18,784.98 and 6,363

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Solution

The fourth proportional to 12,519, 18,784.98 and 6,363 is: 9,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519 : 18,784.98 = 6,363 : x
  2. Step 2: Convert to fraction form
    12,519/18,784.98 = 6,363/x
  3. Step 3: Cross multiply
    12,519x = 18,784.98 × 6,363
  4. Step 4: Simplify right side
    12,519x = 119,528,827.74
  5. Step 5: Solve for x
    x = 119,528,827.74/12,519
  6. Step 6: Final answer
    x = 9,547.79

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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.