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Finding the Fourth Proportional to 9,685.74, 13,366.41 and 6,326.55

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Solution

The fourth proportional to 9,685.74, 13,366.41 and 6,326.55 is: 8,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.74 : 13,366.41 = 6,326.55 : x
  2. Step 2: Convert to fraction form
    9,685.74/13,366.41 = 6,326.55/x
  3. Step 3: Cross multiply
    9,685.74x = 13,366.41 × 6,326.55
  4. Step 4: Simplify right side
    9,685.74x = 84,563,261.19
  5. Step 5: Solve for x
    x = 84,563,261.19/9,685.74
  6. Step 6: Final answer
    x = 8,730.70

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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.