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Finding the Fourth Proportional to 11,776, 17,664 and 4,371.88

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Solution

The fourth proportional to 11,776, 17,664 and 4,371.88 is: 6,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 17,664 = 4,371.88 : x
  2. Step 2: Convert to fraction form
    11,776/17,664 = 4,371.88/x
  3. Step 3: Cross multiply
    11,776x = 17,664 × 4,371.88
  4. Step 4: Simplify right side
    11,776x = 77,224,888.32
  5. Step 5: Solve for x
    x = 77,224,888.32/11,776
  6. Step 6: Final answer
    x = 6,557.82

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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.