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Finding the Fourth Proportional to 6,840.72, 9,437.04 and 4,187.16

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Solution

The fourth proportional to 6,840.72, 9,437.04 and 4,187.16 is: 5,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.72 : 9,437.04 = 4,187.16 : x
  2. Step 2: Convert to fraction form
    6,840.72/9,437.04 = 4,187.16/x
  3. Step 3: Cross multiply
    6,840.72x = 9,437.04 × 4,187.16
  4. Step 4: Simplify right side
    6,840.72x = 39,514,396.41
  5. Step 5: Solve for x
    x = 39,514,396.41/6,840.72
  6. Step 6: Final answer
    x = 5,776.35

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Half scale
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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.