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Finding the Fourth Proportional to 12,398.47, 17,109.63 and 7,020.14

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Solution

The fourth proportional to 12,398.47, 17,109.63 and 7,020.14 is: 9,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.47 : 17,109.63 = 7,020.14 : x
  2. Step 2: Convert to fraction form
    12,398.47/17,109.63 = 7,020.14/x
  3. Step 3: Cross multiply
    12,398.47x = 17,109.63 × 7,020.14
  4. Step 4: Simplify right side
    12,398.47x = 120,111,912.40
  5. Step 5: Solve for x
    x = 120,111,912.40/12,398.47
  6. Step 6: Final answer
    x = 9,687.64

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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.