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Finding the Fourth Proportional to 26,830, 40,247.22 and 8,362

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Solution

The fourth proportional to 26,830, 40,247.22 and 8,362 is: 12,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830 : 40,247.22 = 8,362 : x
  2. Step 2: Convert to fraction form
    26,830/40,247.22 = 8,362/x
  3. Step 3: Cross multiply
    26,830x = 40,247.22 × 8,362
  4. Step 4: Simplify right side
    26,830x = 336,547,253.64
  5. Step 5: Solve for x
    x = 336,547,253.64/26,830
  6. Step 6: Final answer
    x = 12,543.69

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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.