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Finding the Fourth Proportional to 9,970.32, 13,764.78 and 6,617.70

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Solution

The fourth proportional to 9,970.32, 13,764.78 and 6,617.70 is: 9,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.32 : 13,764.78 = 6,617.70 : x
  2. Step 2: Convert to fraction form
    9,970.32/13,764.78 = 6,617.70/x
  3. Step 3: Cross multiply
    9,970.32x = 13,764.78 × 6,617.70
  4. Step 4: Simplify right side
    9,970.32x = 91,091,184.61
  5. Step 5: Solve for x
    x = 91,091,184.61/9,970.32
  6. Step 6: Final answer
    x = 9,136.23

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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.