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Finding the Fourth Proportional to 5,644.86, 7,785.63 and 4,945.02

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Solution

The fourth proportional to 5,644.86, 7,785.63 and 4,945.02 is: 6,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.86 : 7,785.63 = 4,945.02 : x
  2. Step 2: Convert to fraction form
    5,644.86/7,785.63 = 4,945.02/x
  3. Step 3: Cross multiply
    5,644.86x = 7,785.63 × 4,945.02
  4. Step 4: Simplify right side
    5,644.86x = 38,500,096.06
  5. Step 5: Solve for x
    x = 38,500,096.06/5,644.86
  6. Step 6: Final answer
    x = 6,820.38

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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.