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Finding the Fourth Proportional to 9,839.90, 13,547.70 and 9,169.22

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Solution

The fourth proportional to 9,839.90, 13,547.70 and 9,169.22 is: 12,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.90 : 13,547.70 = 9,169.22 : x
  2. Step 2: Convert to fraction form
    9,839.90/13,547.70 = 9,169.22/x
  3. Step 3: Cross multiply
    9,839.90x = 13,547.70 × 9,169.22
  4. Step 4: Simplify right side
    9,839.90x = 124,221,841.79
  5. Step 5: Solve for x
    x = 124,221,841.79/9,839.90
  6. Step 6: Final answer
    x = 12,624.30

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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.