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Finding the Fourth Proportional to 11,343.78, 17,017.47 and 6,904.71

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Solution

The fourth proportional to 11,343.78, 17,017.47 and 6,904.71 is: 10,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.78 : 17,017.47 = 6,904.71 : x
  2. Step 2: Convert to fraction form
    11,343.78/17,017.47 = 6,904.71/x
  3. Step 3: Cross multiply
    11,343.78x = 17,017.47 × 6,904.71
  4. Step 4: Simplify right side
    11,343.78x = 117,500,695.28
  5. Step 5: Solve for x
    x = 117,500,695.28/11,343.78
  6. Step 6: Final answer
    x = 10,358.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.