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Finding the Fourth Proportional to 7,604.86, 10,454.40 and 6,538.70

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Solution

The fourth proportional to 7,604.86, 10,454.40 and 6,538.70 is: 8,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.86 : 10,454.40 = 6,538.70 : x
  2. Step 2: Convert to fraction form
    7,604.86/10,454.40 = 6,538.70/x
  3. Step 3: Cross multiply
    7,604.86x = 10,454.40 × 6,538.70
  4. Step 4: Simplify right side
    7,604.86x = 68,358,185.28
  5. Step 5: Solve for x
    x = 68,358,185.28/7,604.86
  6. Step 6: Final answer
    x = 8,988.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.