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Finding the Fourth Proportional to 6,500.94, 8,966.64 and 6,403.74

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Solution

The fourth proportional to 6,500.94, 8,966.64 and 6,403.74 is: 8,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.94 : 8,966.64 = 6,403.74 : x
  2. Step 2: Convert to fraction form
    6,500.94/8,966.64 = 6,403.74/x
  3. Step 3: Cross multiply
    6,500.94x = 8,966.64 × 6,403.74
  4. Step 4: Simplify right side
    6,500.94x = 57,420,031.23
  5. Step 5: Solve for x
    x = 57,420,031.23/6,500.94
  6. Step 6: Final answer
    x = 8,832.57

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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.