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Finding the Fourth Proportional to 6,978.21, 9,639.73 and 6,347.63

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Solution

The fourth proportional to 6,978.21, 9,639.73 and 6,347.63 is: 8,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.21 : 9,639.73 = 6,347.63 : x
  2. Step 2: Convert to fraction form
    6,978.21/9,639.73 = 6,347.63/x
  3. Step 3: Cross multiply
    6,978.21x = 9,639.73 × 6,347.63
  4. Step 4: Simplify right side
    6,978.21x = 61,189,417.15
  5. Step 5: Solve for x
    x = 61,189,417.15/6,978.21
  6. Step 6: Final answer
    x = 8,768.64

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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.