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Finding the Fourth Proportional to 6,437.76, 9,657.40 and 2,276.90

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Solution

The fourth proportional to 6,437.76, 9,657.40 and 2,276.90 is: 3,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.76 : 9,657.40 = 2,276.90 : x
  2. Step 2: Convert to fraction form
    6,437.76/9,657.40 = 2,276.90/x
  3. Step 3: Cross multiply
    6,437.76x = 9,657.40 × 2,276.90
  4. Step 4: Simplify right side
    6,437.76x = 21,988,934.06
  5. Step 5: Solve for x
    x = 21,988,934.06/6,437.76
  6. Step 6: Final answer
    x = 3,415.62

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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.