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Finding the Fourth Proportional to 6,297.60, 9,442.80 and 1,914.40

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Solution

The fourth proportional to 6,297.60, 9,442.80 and 1,914.40 is: 2,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.60 : 9,442.80 = 1,914.40 : x
  2. Step 2: Convert to fraction form
    6,297.60/9,442.80 = 1,914.40/x
  3. Step 3: Cross multiply
    6,297.60x = 9,442.80 × 1,914.40
  4. Step 4: Simplify right side
    6,297.60x = 18,077,296.32
  5. Step 5: Solve for x
    x = 18,077,296.32/6,297.60
  6. Step 6: Final answer
    x = 2,870.51

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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.