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Finding the Fourth Proportional to 7,742.04, 11,602.62 and 4,223.40

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Solution

The fourth proportional to 7,742.04, 11,602.62 and 4,223.40 is: 6,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.04 : 11,602.62 = 4,223.40 : x
  2. Step 2: Convert to fraction form
    7,742.04/11,602.62 = 4,223.40/x
  3. Step 3: Cross multiply
    7,742.04x = 11,602.62 × 4,223.40
  4. Step 4: Simplify right side
    7,742.04x = 49,002,505.31
  5. Step 5: Solve for x
    x = 49,002,505.31/7,742.04
  6. Step 6: Final answer
    x = 6,329.40

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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.