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Finding the Fourth Proportional to 6,415.90, 8,853.87 and 3,762.81

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Solution

The fourth proportional to 6,415.90, 8,853.87 and 3,762.81 is: 5,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.90 : 8,853.87 = 3,762.81 : x
  2. Step 2: Convert to fraction form
    6,415.90/8,853.87 = 3,762.81/x
  3. Step 3: Cross multiply
    6,415.90x = 8,853.87 × 3,762.81
  4. Step 4: Simplify right side
    6,415.90x = 33,315,430.57
  5. Step 5: Solve for x
    x = 33,315,430.57/6,415.90
  6. Step 6: Final answer
    x = 5,192.64

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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.