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Finding the Fourth Proportional to 8,978.68, 13,468.50 and 3,431

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Solution

The fourth proportional to 8,978.68, 13,468.50 and 3,431 is: 5,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.68 : 13,468.50 = 3,431 : x
  2. Step 2: Convert to fraction form
    8,978.68/13,468.50 = 3,431/x
  3. Step 3: Cross multiply
    8,978.68x = 13,468.50 × 3,431
  4. Step 4: Simplify right side
    8,978.68x = 46,210,423.50
  5. Step 5: Solve for x
    x = 46,210,423.50/8,978.68
  6. Step 6: Final answer
    x = 5,146.68

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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.