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Finding the Fourth Proportional to 43,262, 64,893 and 10,430

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Solution

The fourth proportional to 43,262, 64,893 and 10,430 is: 15,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,262 : 64,893 = 10,430 : x
  2. Step 2: Convert to fraction form
    43,262/64,893 = 10,430/x
  3. Step 3: Cross multiply
    43,262x = 64,893 × 10,430
  4. Step 4: Simplify right side
    43,262x = 676,833,990
  5. Step 5: Solve for x
    x = 676,833,990/43,262
  6. Step 6: Final answer
    x = 15,645

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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.