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Finding the Fourth Proportional to 47,374.80, 65,378.52 and 28,518

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Solution

The fourth proportional to 47,374.80, 65,378.52 and 28,518 is: 39,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374.80 : 65,378.52 = 28,518 : x
  2. Step 2: Convert to fraction form
    47,374.80/65,378.52 = 28,518/x
  3. Step 3: Cross multiply
    47,374.80x = 65,378.52 × 28,518
  4. Step 4: Simplify right side
    47,374.80x = 1,864,464,633.36
  5. Step 5: Solve for x
    x = 1,864,464,633.36/47,374.80
  6. Step 6: Final answer
    x = 39,355.62

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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.