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Finding the Fourth Proportional to 31,390.78, 47,086.24 and 7,698.44

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Solution

The fourth proportional to 31,390.78, 47,086.24 and 7,698.44 is: 11,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.78 : 47,086.24 = 7,698.44 : x
  2. Step 2: Convert to fraction form
    31,390.78/47,086.24 = 7,698.44/x
  3. Step 3: Cross multiply
    31,390.78x = 47,086.24 × 7,698.44
  4. Step 4: Simplify right side
    31,390.78x = 362,490,593.47
  5. Step 5: Solve for x
    x = 362,490,593.47/31,390.78
  6. Step 6: Final answer
    x = 11,547.68

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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.