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Finding the Fourth Proportional to 8,495.64, 12,740.31 and 2,947.50

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Solution

The fourth proportional to 8,495.64, 12,740.31 and 2,947.50 is: 4,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.64 : 12,740.31 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    8,495.64/12,740.31 = 2,947.50/x
  3. Step 3: Cross multiply
    8,495.64x = 12,740.31 × 2,947.50
  4. Step 4: Simplify right side
    8,495.64x = 37,552,063.73
  5. Step 5: Solve for x
    x = 37,552,063.73/8,495.64
  6. Step 6: Final answer
    x = 4,420.16

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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.