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Finding the Fourth Proportional to 7,840.04, 11,750.78 and 3,448.32

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Solution

The fourth proportional to 7,840.04, 11,750.78 and 3,448.32 is: 5,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.04 : 11,750.78 = 3,448.32 : x
  2. Step 2: Convert to fraction form
    7,840.04/11,750.78 = 3,448.32/x
  3. Step 3: Cross multiply
    7,840.04x = 11,750.78 × 3,448.32
  4. Step 4: Simplify right side
    7,840.04x = 40,520,449.69
  5. Step 5: Solve for x
    x = 40,520,449.69/7,840.04
  6. Step 6: Final answer
    x = 5,168.40

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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.