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Finding the Fourth Proportional to 6,445, 8,878.92 and 6,057.49

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Solution

The fourth proportional to 6,445, 8,878.92 and 6,057.49 is: 8,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 8,878.92 = 6,057.49 : x
  2. Step 2: Convert to fraction form
    6,445/8,878.92 = 6,057.49/x
  3. Step 3: Cross multiply
    6,445x = 8,878.92 × 6,057.49
  4. Step 4: Simplify right side
    6,445x = 53,783,969.11
  5. Step 5: Solve for x
    x = 53,783,969.11/6,445
  6. Step 6: Final answer
    x = 8,345.07

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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.