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Finding the Fourth Proportional to 19,782, 29,657.52 and 10,409.76

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Solution

The fourth proportional to 19,782, 29,657.52 and 10,409.76 is: 15,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 29,657.52 = 10,409.76 : x
  2. Step 2: Convert to fraction form
    19,782/29,657.52 = 10,409.76/x
  3. Step 3: Cross multiply
    19,782x = 29,657.52 × 10,409.76
  4. Step 4: Simplify right side
    19,782x = 308,727,665.40
  5. Step 5: Solve for x
    x = 308,727,665.40/19,782
  6. Step 6: Final answer
    x = 15,606.49

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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.