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Finding the Fourth Proportional to 12,547, 18,821.76 and 3,313

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Solution

The fourth proportional to 12,547, 18,821.76 and 3,313 is: 4,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547 : 18,821.76 = 3,313 : x
  2. Step 2: Convert to fraction form
    12,547/18,821.76 = 3,313/x
  3. Step 3: Cross multiply
    12,547x = 18,821.76 × 3,313
  4. Step 4: Simplify right side
    12,547x = 62,356,490.88
  5. Step 5: Solve for x
    x = 62,356,490.88/12,547
  6. Step 6: Final answer
    x = 4,969.83

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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.