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Finding the Fourth Proportional to 6,715.64, 9,266.86 and 3,730.80

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Solution

The fourth proportional to 6,715.64, 9,266.86 and 3,730.80 is: 5,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.64 : 9,266.86 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    6,715.64/9,266.86 = 3,730.80/x
  3. Step 3: Cross multiply
    6,715.64x = 9,266.86 × 3,730.80
  4. Step 4: Simplify right side
    6,715.64x = 34,572,801.29
  5. Step 5: Solve for x
    x = 34,572,801.29/6,715.64
  6. Step 6: Final answer
    x = 5,148.10

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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.