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Finding the Fourth Proportional to 43,776, 65,664 and 10,944

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Solution

The fourth proportional to 43,776, 65,664 and 10,944 is: 16,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 65,664 = 10,944 : x
  2. Step 2: Convert to fraction form
    43,776/65,664 = 10,944/x
  3. Step 3: Cross multiply
    43,776x = 65,664 × 10,944
  4. Step 4: Simplify right side
    43,776x = 718,626,816
  5. Step 5: Solve for x
    x = 718,626,816/43,776
  6. Step 6: Final answer
    x = 16,416

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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.