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Finding the Fourth Proportional to 12,547.52, 18,822.19 and 3,783.12

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Solution

The fourth proportional to 12,547.52, 18,822.19 and 3,783.12 is: 5,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.52 : 18,822.19 = 3,783.12 : x
  2. Step 2: Convert to fraction form
    12,547.52/18,822.19 = 3,783.12/x
  3. Step 3: Cross multiply
    12,547.52x = 18,822.19 × 3,783.12
  4. Step 4: Simplify right side
    12,547.52x = 71,206,603.43
  5. Step 5: Solve for x
    x = 71,206,603.43/12,547.52
  6. Step 6: Final answer
    x = 5,674.95

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1.5x scale

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.