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Finding the Fourth Proportional to 35,909.78, 53,864.70 and 11,285.78

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Solution

The fourth proportional to 35,909.78, 53,864.70 and 11,285.78 is: 16,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.78 : 53,864.70 = 11,285.78 : x
  2. Step 2: Convert to fraction form
    35,909.78/53,864.70 = 11,285.78/x
  3. Step 3: Cross multiply
    35,909.78x = 53,864.70 × 11,285.78
  4. Step 4: Simplify right side
    35,909.78x = 607,905,153.97
  5. Step 5: Solve for x
    x = 607,905,153.97/35,909.78
  6. Step 6: Final answer
    x = 16,928.68

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1.5x scale

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.