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Finding the Fourth Proportional to 47,784.86, 65,958.48 and 28,937.78

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Solution

The fourth proportional to 47,784.86, 65,958.48 and 28,937.78 is: 39,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,784.86 : 65,958.48 = 28,937.78 : x
  2. Step 2: Convert to fraction form
    47,784.86/65,958.48 = 28,937.78/x
  3. Step 3: Cross multiply
    47,784.86x = 65,958.48 × 28,937.78
  4. Step 4: Simplify right side
    47,784.86x = 1,908,691,653.58
  5. Step 5: Solve for x
    x = 1,908,691,653.58/47,784.86
  6. Step 6: Final answer
    x = 39,943.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.