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Finding the Fourth Proportional to 7,751.61, 11,623.26 and 3,071.43

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Solution

The fourth proportional to 7,751.61, 11,623.26 and 3,071.43 is: 4,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.61 : 11,623.26 = 3,071.43 : x
  2. Step 2: Convert to fraction form
    7,751.61/11,623.26 = 3,071.43/x
  3. Step 3: Cross multiply
    7,751.61x = 11,623.26 × 3,071.43
  4. Step 4: Simplify right side
    7,751.61x = 35,700,029.46
  5. Step 5: Solve for x
    x = 35,700,029.46/7,751.61
  6. Step 6: Final answer
    x = 4,605.50

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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.