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Finding the Fourth Proportional to 12,906.98, 17,812.47 and 7,242.08

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Solution

The fourth proportional to 12,906.98, 17,812.47 and 7,242.08 is: 9,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.98 : 17,812.47 = 7,242.08 : x
  2. Step 2: Convert to fraction form
    12,906.98/17,812.47 = 7,242.08/x
  3. Step 3: Cross multiply
    12,906.98x = 17,812.47 × 7,242.08
  4. Step 4: Simplify right side
    12,906.98x = 128,999,270.83
  5. Step 5: Solve for x
    x = 128,999,270.83/12,906.98
  6. Step 6: Final answer
    x = 9,994.54

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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.