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Finding the Fourth Proportional to 12,172.36, 16,802.58 and 7,141

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Solution

The fourth proportional to 12,172.36, 16,802.58 and 7,141 is: 9,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.36 : 16,802.58 = 7,141 : x
  2. Step 2: Convert to fraction form
    12,172.36/16,802.58 = 7,141/x
  3. Step 3: Cross multiply
    12,172.36x = 16,802.58 × 7,141
  4. Step 4: Simplify right side
    12,172.36x = 119,987,223.78
  5. Step 5: Solve for x
    x = 119,987,223.78/12,172.36
  6. Step 6: Final answer
    x = 9,857.35

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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.