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Finding the Fourth Proportional to 47,264, 70,896 and 14,432

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Solution

The fourth proportional to 47,264, 70,896 and 14,432 is: 21,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,264 : 70,896 = 14,432 : x
  2. Step 2: Convert to fraction form
    47,264/70,896 = 14,432/x
  3. Step 3: Cross multiply
    47,264x = 70,896 × 14,432
  4. Step 4: Simplify right side
    47,264x = 1,023,171,072
  5. Step 5: Solve for x
    x = 1,023,171,072/47,264
  6. Step 6: Final answer
    x = 21,648

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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.