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Finding the Fourth Proportional to 6,458.96, 8,855.31 and 6,342.32

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Solution

The fourth proportional to 6,458.96, 8,855.31 and 6,342.32 is: 8,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.96 : 8,855.31 = 6,342.32 : x
  2. Step 2: Convert to fraction form
    6,458.96/8,855.31 = 6,342.32/x
  3. Step 3: Cross multiply
    6,458.96x = 8,855.31 × 6,342.32
  4. Step 4: Simplify right side
    6,458.96x = 56,163,209.72
  5. Step 5: Solve for x
    x = 56,163,209.72/6,458.96
  6. Step 6: Final answer
    x = 8,695.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.