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Finding the Fourth Proportional to 43,040, 64,560 and 13,856

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Solution

The fourth proportional to 43,040, 64,560 and 13,856 is: 20,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,040 : 64,560 = 13,856 : x
  2. Step 2: Convert to fraction form
    43,040/64,560 = 13,856/x
  3. Step 3: Cross multiply
    43,040x = 64,560 × 13,856
  4. Step 4: Simplify right side
    43,040x = 894,543,360
  5. Step 5: Solve for x
    x = 894,543,360/43,040
  6. Step 6: Final answer
    x = 20,784

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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.