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Finding the Fourth Proportional to 19,847.68, 29,756.16 and 8,896

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Solution

The fourth proportional to 19,847.68, 29,756.16 and 8,896 is: 13,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.68 : 29,756.16 = 8,896 : x
  2. Step 2: Convert to fraction form
    19,847.68/29,756.16 = 8,896/x
  3. Step 3: Cross multiply
    19,847.68x = 29,756.16 × 8,896
  4. Step 4: Simplify right side
    19,847.68x = 264,710,799.36
  5. Step 5: Solve for x
    x = 264,710,799.36/19,847.68
  6. Step 6: Final answer
    x = 13,337.12

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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.