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Finding the Fourth Proportional to 19,888, 29,816.52 and 10,515.76

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Solution

The fourth proportional to 19,888, 29,816.52 and 10,515.76 is: 15,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888 : 29,816.52 = 10,515.76 : x
  2. Step 2: Convert to fraction form
    19,888/29,816.52 = 10,515.76/x
  3. Step 3: Cross multiply
    19,888x = 29,816.52 × 10,515.76
  4. Step 4: Simplify right side
    19,888x = 313,543,368.36
  5. Step 5: Solve for x
    x = 313,543,368.36/19,888
  6. Step 6: Final answer
    x = 15,765.45

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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.