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Finding the Fourth Proportional to 27,178.10, 40,762.78 and 7,452.08

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Solution

The fourth proportional to 27,178.10, 40,762.78 and 7,452.08 is: 11,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.10 : 40,762.78 = 7,452.08 : x
  2. Step 2: Convert to fraction form
    27,178.10/40,762.78 = 7,452.08/x
  3. Step 3: Cross multiply
    27,178.10x = 40,762.78 × 7,452.08
  4. Step 4: Simplify right side
    27,178.10x = 303,767,497.58
  5. Step 5: Solve for x
    x = 303,767,497.58/27,178.10
  6. Step 6: Final answer
    x = 11,176.92

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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.