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Finding the Fourth Proportional to 9,708.65, 13,390.43 and 8,366.48

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Solution

The fourth proportional to 9,708.65, 13,390.43 and 8,366.48 is: 11,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.65 : 13,390.43 = 8,366.48 : x
  2. Step 2: Convert to fraction form
    9,708.65/13,390.43 = 8,366.48/x
  3. Step 3: Cross multiply
    9,708.65x = 13,390.43 × 8,366.48
  4. Step 4: Simplify right side
    9,708.65x = 112,030,718.75
  5. Step 5: Solve for x
    x = 112,030,718.75/9,708.65
  6. Step 6: Final answer
    x = 11,539.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.