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Finding the Fourth Proportional to 19,614.16, 29,421 and 9,218.56

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Solution

The fourth proportional to 19,614.16, 29,421 and 9,218.56 is: 13,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.16 : 29,421 = 9,218.56 : x
  2. Step 2: Convert to fraction form
    19,614.16/29,421 = 9,218.56/x
  3. Step 3: Cross multiply
    19,614.16x = 29,421 × 9,218.56
  4. Step 4: Simplify right side
    19,614.16x = 271,219,253.76
  5. Step 5: Solve for x
    x = 271,219,253.76/19,614.16
  6. Step 6: Final answer
    x = 13,827.73

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1.5x scale

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.