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Finding the Fourth Proportional to 9,047.61, 13,633.20 and 7,440.21

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Solution

The fourth proportional to 9,047.61, 13,633.20 and 7,440.21 is: 11,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.61 : 13,633.20 = 7,440.21 : x
  2. Step 2: Convert to fraction form
    9,047.61/13,633.20 = 7,440.21/x
  3. Step 3: Cross multiply
    9,047.61x = 13,633.20 × 7,440.21
  4. Step 4: Simplify right side
    9,047.61x = 101,433,870.97
  5. Step 5: Solve for x
    x = 101,433,870.97/9,047.61
  6. Step 6: Final answer
    x = 11,211.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.