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Finding the Fourth Proportional to 27,015, 40,528.98 and 8,547

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Solution

The fourth proportional to 27,015, 40,528.98 and 8,547 is: 12,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015 : 40,528.98 = 8,547 : x
  2. Step 2: Convert to fraction form
    27,015/40,528.98 = 8,547/x
  3. Step 3: Cross multiply
    27,015x = 40,528.98 × 8,547
  4. Step 4: Simplify right side
    27,015x = 346,401,192.06
  5. Step 5: Solve for x
    x = 346,401,192.06/27,015
  6. Step 6: Final answer
    x = 12,822.55

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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.