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Finding the Fourth Proportional to 10,907.97, 15,035.04 and 7,717.20

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Solution

The fourth proportional to 10,907.97, 15,035.04 and 7,717.20 is: 10,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.97 : 15,035.04 = 7,717.20 : x
  2. Step 2: Convert to fraction form
    10,907.97/15,035.04 = 7,717.20/x
  3. Step 3: Cross multiply
    10,907.97x = 15,035.04 × 7,717.20
  4. Step 4: Simplify right side
    10,907.97x = 116,028,410.69
  5. Step 5: Solve for x
    x = 116,028,410.69/10,907.97
  6. Step 6: Final answer
    x = 10,637.03

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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.