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Finding the Fourth Proportional to 6,455.76, 8,910.39 and 4,097.46

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Solution

The fourth proportional to 6,455.76, 8,910.39 and 4,097.46 is: 5,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.76 : 8,910.39 = 4,097.46 : x
  2. Step 2: Convert to fraction form
    6,455.76/8,910.39 = 4,097.46/x
  3. Step 3: Cross multiply
    6,455.76x = 8,910.39 × 4,097.46
  4. Step 4: Simplify right side
    6,455.76x = 36,509,966.61
  5. Step 5: Solve for x
    x = 36,509,966.61/6,455.76
  6. Step 6: Final answer
    x = 5,655.41

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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.