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Finding the Fourth Proportional to 6,147.50, 8,477.06 and 5,648.13

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Solution

The fourth proportional to 6,147.50, 8,477.06 and 5,648.13 is: 7,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.50 : 8,477.06 = 5,648.13 : x
  2. Step 2: Convert to fraction form
    6,147.50/8,477.06 = 5,648.13/x
  3. Step 3: Cross multiply
    6,147.50x = 8,477.06 × 5,648.13
  4. Step 4: Simplify right side
    6,147.50x = 47,879,508.66
  5. Step 5: Solve for x
    x = 47,879,508.66/6,147.50
  6. Step 6: Final answer
    x = 7,788.46

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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.