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Finding the Fourth Proportional to 35,920.82, 53,905.90 and 12,547.28

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Solution

The fourth proportional to 35,920.82, 53,905.90 and 12,547.28 is: 18,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920.82 : 53,905.90 = 12,547.28 : x
  2. Step 2: Convert to fraction form
    35,920.82/53,905.90 = 12,547.28/x
  3. Step 3: Cross multiply
    35,920.82x = 53,905.90 × 12,547.28
  4. Step 4: Simplify right side
    35,920.82x = 676,372,420.95
  5. Step 5: Solve for x
    x = 676,372,420.95/35,920.82
  6. Step 6: Final answer
    x = 18,829.54

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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.