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Finding the Fourth Proportional to 47,684.81, 65,784.48 and 28,811

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Solution

The fourth proportional to 47,684.81, 65,784.48 and 28,811 is: 39,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.81 : 65,784.48 = 28,811 : x
  2. Step 2: Convert to fraction form
    47,684.81/65,784.48 = 28,811/x
  3. Step 3: Cross multiply
    47,684.81x = 65,784.48 × 28,811
  4. Step 4: Simplify right side
    47,684.81x = 1,895,316,653.28
  5. Step 5: Solve for x
    x = 1,895,316,653.28/47,684.81
  6. Step 6: Final answer
    x = 39,746.76

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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.