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Finding the Fourth Proportional to 6,653.57, 9,966.04 and 3,138.30

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Solution

The fourth proportional to 6,653.57, 9,966.04 and 3,138.30 is: 4,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.57 : 9,966.04 = 3,138.30 : x
  2. Step 2: Convert to fraction form
    6,653.57/9,966.04 = 3,138.30/x
  3. Step 3: Cross multiply
    6,653.57x = 9,966.04 × 3,138.30
  4. Step 4: Simplify right side
    6,653.57x = 31,276,415.49
  5. Step 5: Solve for x
    x = 31,276,415.49/6,653.57
  6. Step 6: Final answer
    x = 4,700.70

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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.