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Finding the Fourth Proportional to 43,264, 64,896 and 10,432

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Solution

The fourth proportional to 43,264, 64,896 and 10,432 is: 15,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,264 : 64,896 = 10,432 : x
  2. Step 2: Convert to fraction form
    43,264/64,896 = 10,432/x
  3. Step 3: Cross multiply
    43,264x = 64,896 × 10,432
  4. Step 4: Simplify right side
    43,264x = 676,995,072
  5. Step 5: Solve for x
    x = 676,995,072/43,264
  6. Step 6: Final answer
    x = 15,648

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.