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Finding the Fourth Proportional to 22,122.96, 30,509.64 and 14,658

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Solution

The fourth proportional to 22,122.96, 30,509.64 and 14,658 is: 20,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.96 : 30,509.64 = 14,658 : x
  2. Step 2: Convert to fraction form
    22,122.96/30,509.64 = 14,658/x
  3. Step 3: Cross multiply
    22,122.96x = 30,509.64 × 14,658
  4. Step 4: Simplify right side
    22,122.96x = 447,210,303.12
  5. Step 5: Solve for x
    x = 447,210,303.12/22,122.96
  6. Step 6: Final answer
    x = 20,214.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.