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Finding the Fourth Proportional to 32,970, 49,440.22 and 19,649.28

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Solution

The fourth proportional to 32,970, 49,440.22 and 19,649.28 is: 29,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970 : 49,440.22 = 19,649.28 : x
  2. Step 2: Convert to fraction form
    32,970/49,440.22 = 19,649.28/x
  3. Step 3: Cross multiply
    32,970x = 49,440.22 × 19,649.28
  4. Step 4: Simplify right side
    32,970x = 971,464,726.04
  5. Step 5: Solve for x
    x = 971,464,726.04/32,970
  6. Step 6: Final answer
    x = 29,465.11

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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.