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Finding the Fourth Proportional to 8,349.78, 12,520.71 and 3,083.07

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Solution

The fourth proportional to 8,349.78, 12,520.71 and 3,083.07 is: 4,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.78 : 12,520.71 = 3,083.07 : x
  2. Step 2: Convert to fraction form
    8,349.78/12,520.71 = 3,083.07/x
  3. Step 3: Cross multiply
    8,349.78x = 12,520.71 × 3,083.07
  4. Step 4: Simplify right side
    8,349.78x = 38,602,225.38
  5. Step 5: Solve for x
    x = 38,602,225.38/8,349.78
  6. Step 6: Final answer
    x = 4,623.14

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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.