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Finding the Fourth Proportional to 19,776, 29,664 and 5,925

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Solution

The fourth proportional to 19,776, 29,664 and 5,925 is: 8,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776 : 29,664 = 5,925 : x
  2. Step 2: Convert to fraction form
    19,776/29,664 = 5,925/x
  3. Step 3: Cross multiply
    19,776x = 29,664 × 5,925
  4. Step 4: Simplify right side
    19,776x = 175,759,200
  5. Step 5: Solve for x
    x = 175,759,200/19,776
  6. Step 6: Final answer
    x = 8,887.50

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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.