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Finding the Fourth Proportional to 8,743.72, 13,047.95 and 7,809.22

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Solution

The fourth proportional to 8,743.72, 13,047.95 and 7,809.22 is: 11,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.72 : 13,047.95 = 7,809.22 : x
  2. Step 2: Convert to fraction form
    8,743.72/13,047.95 = 7,809.22/x
  3. Step 3: Cross multiply
    8,743.72x = 13,047.95 × 7,809.22
  4. Step 4: Simplify right side
    8,743.72x = 101,894,312.10
  5. Step 5: Solve for x
    x = 101,894,312.10/8,743.72
  6. Step 6: Final answer
    x = 11,653.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.