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Finding the Fourth Proportional to 7,207.40, 10,835.40 and 6,138.20

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Solution

The fourth proportional to 7,207.40, 10,835.40 and 6,138.20 is: 9,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.40 : 10,835.40 = 6,138.20 : x
  2. Step 2: Convert to fraction form
    7,207.40/10,835.40 = 6,138.20/x
  3. Step 3: Cross multiply
    7,207.40x = 10,835.40 × 6,138.20
  4. Step 4: Simplify right side
    7,207.40x = 66,509,852.28
  5. Step 5: Solve for x
    x = 66,509,852.28/7,207.40
  6. Step 6: Final answer
    x = 9,228.00

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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.