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Finding the Fourth Proportional to 10,620.64, 14,657.25 and 5,905.63

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Solution

The fourth proportional to 10,620.64, 14,657.25 and 5,905.63 is: 8,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.64 : 14,657.25 = 5,905.63 : x
  2. Step 2: Convert to fraction form
    10,620.64/14,657.25 = 5,905.63/x
  3. Step 3: Cross multiply
    10,620.64x = 14,657.25 × 5,905.63
  4. Step 4: Simplify right side
    10,620.64x = 86,560,295.32
  5. Step 5: Solve for x
    x = 86,560,295.32/10,620.64
  6. Step 6: Final answer
    x = 8,150.20

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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.