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Finding the Fourth Proportional to 27,146.28, 40,720 and 7,424.72

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Solution

The fourth proportional to 27,146.28, 40,720 and 7,424.72 is: 11,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.28 : 40,720 = 7,424.72 : x
  2. Step 2: Convert to fraction form
    27,146.28/40,720 = 7,424.72/x
  3. Step 3: Cross multiply
    27,146.28x = 40,720 × 7,424.72
  4. Step 4: Simplify right side
    27,146.28x = 302,334,598.40
  5. Step 5: Solve for x
    x = 302,334,598.40/27,146.28
  6. Step 6: Final answer
    x = 11,137.24

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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.