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Finding the Fourth Proportional to 9,840.60, 13,597.32 and 7,867.44

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Solution

The fourth proportional to 9,840.60, 13,597.32 and 7,867.44 is: 10,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.60 : 13,597.32 = 7,867.44 : x
  2. Step 2: Convert to fraction form
    9,840.60/13,597.32 = 7,867.44/x
  3. Step 3: Cross multiply
    9,840.60x = 13,597.32 × 7,867.44
  4. Step 4: Simplify right side
    9,840.60x = 106,976,099.26
  5. Step 5: Solve for x
    x = 106,976,099.26/9,840.60
  6. Step 6: Final answer
    x = 10,870.89

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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.