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Finding the Fourth Proportional to 27,142.54, 40,712.50 and 7,421.14

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Solution

The fourth proportional to 27,142.54, 40,712.50 and 7,421.14 is: 11,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.54 : 40,712.50 = 7,421.14 : x
  2. Step 2: Convert to fraction form
    27,142.54/40,712.50 = 7,421.14/x
  3. Step 3: Cross multiply
    27,142.54x = 40,712.50 × 7,421.14
  4. Step 4: Simplify right side
    27,142.54x = 302,133,041.92
  5. Step 5: Solve for x
    x = 302,133,041.92/27,142.54
  6. Step 6: Final answer
    x = 11,131.35

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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.