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Finding the Fourth Proportional to 38,547, 57,820.53 and 10,845

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Solution

The fourth proportional to 38,547, 57,820.53 and 10,845 is: 16,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547 : 57,820.53 = 10,845 : x
  2. Step 2: Convert to fraction form
    38,547/57,820.53 = 10,845/x
  3. Step 3: Cross multiply
    38,547x = 57,820.53 × 10,845
  4. Step 4: Simplify right side
    38,547x = 627,063,647.85
  5. Step 5: Solve for x
    x = 627,063,647.85/38,547
  6. Step 6: Final answer
    x = 16,267.51

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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.