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Finding the Fourth Proportional to 5,393.86, 7,442.47 and 3,505.30

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Solution

The fourth proportional to 5,393.86, 7,442.47 and 3,505.30 is: 4,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.86 : 7,442.47 = 3,505.30 : x
  2. Step 2: Convert to fraction form
    5,393.86/7,442.47 = 3,505.30/x
  3. Step 3: Cross multiply
    5,393.86x = 7,442.47 × 3,505.30
  4. Step 4: Simplify right side
    5,393.86x = 26,088,090.09
  5. Step 5: Solve for x
    x = 26,088,090.09/5,393.86
  6. Step 6: Final answer
    x = 4,836.63

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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.