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Finding the Fourth Proportional to 8,678.94, 13,005.95 and 4,933.70

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Solution

The fourth proportional to 8,678.94, 13,005.95 and 4,933.70 is: 7,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.94 : 13,005.95 = 4,933.70 : x
  2. Step 2: Convert to fraction form
    8,678.94/13,005.95 = 4,933.70/x
  3. Step 3: Cross multiply
    8,678.94x = 13,005.95 × 4,933.70
  4. Step 4: Simplify right side
    8,678.94x = 64,167,365.82
  5. Step 5: Solve for x
    x = 64,167,365.82/8,678.94
  6. Step 6: Final answer
    x = 7,393.46

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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.