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Finding the Fourth Proportional to 6,746.66, 9,311.51 and 3,915.71

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Solution

The fourth proportional to 6,746.66, 9,311.51 and 3,915.71 is: 5,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.66 : 9,311.51 = 3,915.71 : x
  2. Step 2: Convert to fraction form
    6,746.66/9,311.51 = 3,915.71/x
  3. Step 3: Cross multiply
    6,746.66x = 9,311.51 × 3,915.71
  4. Step 4: Simplify right side
    6,746.66x = 36,461,106.69
  5. Step 5: Solve for x
    x = 36,461,106.69/6,746.66
  6. Step 6: Final answer
    x = 5,404.32

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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.