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Finding the Fourth Proportional to 47,616.76, 65,698.74 and 28,747

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Solution

The fourth proportional to 47,616.76, 65,698.74 and 28,747 is: 39,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616.76 : 65,698.74 = 28,747 : x
  2. Step 2: Convert to fraction form
    47,616.76/65,698.74 = 28,747/x
  3. Step 3: Cross multiply
    47,616.76x = 65,698.74 × 28,747
  4. Step 4: Simplify right side
    47,616.76x = 1,888,641,678.78
  5. Step 5: Solve for x
    x = 1,888,641,678.78/47,616.76
  6. Step 6: Final answer
    x = 39,663.38

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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.