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Finding the Fourth Proportional to 8,369.48, 11,549.68 and 4,643.48

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Solution

The fourth proportional to 8,369.48, 11,549.68 and 4,643.48 is: 6,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.48 : 11,549.68 = 4,643.48 : x
  2. Step 2: Convert to fraction form
    8,369.48/11,549.68 = 4,643.48/x
  3. Step 3: Cross multiply
    8,369.48x = 11,549.68 × 4,643.48
  4. Step 4: Simplify right side
    8,369.48x = 53,630,708.09
  5. Step 5: Solve for x
    x = 53,630,708.09/8,369.48
  6. Step 6: Final answer
    x = 6,407.89

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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.