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Finding the Fourth Proportional to 43,210, 64,815 and 14,026

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Solution

The fourth proportional to 43,210, 64,815 and 14,026 is: 21,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210 : 64,815 = 14,026 : x
  2. Step 2: Convert to fraction form
    43,210/64,815 = 14,026/x
  3. Step 3: Cross multiply
    43,210x = 64,815 × 14,026
  4. Step 4: Simplify right side
    43,210x = 909,095,190
  5. Step 5: Solve for x
    x = 909,095,190/43,210
  6. Step 6: Final answer
    x = 21,039

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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.