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Finding the Fourth Proportional to 9,357.80, 13,970.29 and 8,321

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Solution

The fourth proportional to 9,357.80, 13,970.29 and 8,321 is: 12,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.80 : 13,970.29 = 8,321 : x
  2. Step 2: Convert to fraction form
    9,357.80/13,970.29 = 8,321/x
  3. Step 3: Cross multiply
    9,357.80x = 13,970.29 × 8,321
  4. Step 4: Simplify right side
    9,357.80x = 116,246,783.09
  5. Step 5: Solve for x
    x = 116,246,783.09/9,357.80
  6. Step 6: Final answer
    x = 12,422.45

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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.