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Finding the Fourth Proportional to 6,460.11, 8,909.49 and 5,456.74

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Solution

The fourth proportional to 6,460.11, 8,909.49 and 5,456.74 is: 7,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.11 : 8,909.49 = 5,456.74 : x
  2. Step 2: Convert to fraction form
    6,460.11/8,909.49 = 5,456.74/x
  3. Step 3: Cross multiply
    6,460.11x = 8,909.49 × 5,456.74
  4. Step 4: Simplify right side
    6,460.11x = 48,616,736.77
  5. Step 5: Solve for x
    x = 48,616,736.77/6,460.11
  6. Step 6: Final answer
    x = 7,525.69

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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.