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Finding the Fourth Proportional to 6,400.72, 9,601.16 and 1,783.76

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Solution

The fourth proportional to 6,400.72, 9,601.16 and 1,783.76 is: 2,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.72 : 9,601.16 = 1,783.76 : x
  2. Step 2: Convert to fraction form
    6,400.72/9,601.16 = 1,783.76/x
  3. Step 3: Cross multiply
    6,400.72x = 9,601.16 × 1,783.76
  4. Step 4: Simplify right side
    6,400.72x = 17,126,165.16
  5. Step 5: Solve for x
    x = 17,126,165.16/6,400.72
  6. Step 6: Final answer
    x = 2,675.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.