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Finding the Fourth Proportional to 35,905, 53,857.50 and 11,281

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Solution

The fourth proportional to 35,905, 53,857.50 and 11,281 is: 16,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905 : 53,857.50 = 11,281 : x
  2. Step 2: Convert to fraction form
    35,905/53,857.50 = 11,281/x
  3. Step 3: Cross multiply
    35,905x = 53,857.50 × 11,281
  4. Step 4: Simplify right side
    35,905x = 607,566,457.50
  5. Step 5: Solve for x
    x = 607,566,457.50/35,905
  6. Step 6: Final answer
    x = 16,921.50

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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.