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Finding the Fourth Proportional to 38,649.84, 58,013.64 and 28,230

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Solution

The fourth proportional to 38,649.84, 58,013.64 and 28,230 is: 42,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.84 : 58,013.64 = 28,230 : x
  2. Step 2: Convert to fraction form
    38,649.84/58,013.64 = 28,230/x
  3. Step 3: Cross multiply
    38,649.84x = 58,013.64 × 28,230
  4. Step 4: Simplify right side
    38,649.84x = 1,637,725,057.20
  5. Step 5: Solve for x
    x = 1,637,725,057.20/38,649.84
  6. Step 6: Final answer
    x = 42,373.40

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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.