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Finding the Fourth Proportional to 12,802.01, 17,666.14 and 7,137.38

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Solution

The fourth proportional to 12,802.01, 17,666.14 and 7,137.38 is: 9,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.01 : 17,666.14 = 7,137.38 : x
  2. Step 2: Convert to fraction form
    12,802.01/17,666.14 = 7,137.38/x
  3. Step 3: Cross multiply
    12,802.01x = 17,666.14 × 7,137.38
  4. Step 4: Simplify right side
    12,802.01x = 126,089,954.31
  5. Step 5: Solve for x
    x = 126,089,954.31/12,802.01
  6. Step 6: Final answer
    x = 9,849.23

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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.