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Finding the Fourth Proportional to 6,993.86, 9,652.47 and 6,403.34

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Solution

The fourth proportional to 6,993.86, 9,652.47 and 6,403.34 is: 8,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.86 : 9,652.47 = 6,403.34 : x
  2. Step 2: Convert to fraction form
    6,993.86/9,652.47 = 6,403.34/x
  3. Step 3: Cross multiply
    6,993.86x = 9,652.47 × 6,403.34
  4. Step 4: Simplify right side
    6,993.86x = 61,808,047.25
  5. Step 5: Solve for x
    x = 61,808,047.25/6,993.86
  6. Step 6: Final answer
    x = 8,837.47

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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.