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Finding the Fourth Proportional to 12,762.85, 17,613.93 and 7,728.31

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Solution

The fourth proportional to 12,762.85, 17,613.93 and 7,728.31 is: 10,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.85 : 17,613.93 = 7,728.31 : x
  2. Step 2: Convert to fraction form
    12,762.85/17,613.93 = 7,728.31/x
  3. Step 3: Cross multiply
    12,762.85x = 17,613.93 × 7,728.31
  4. Step 4: Simplify right side
    12,762.85x = 136,125,911.36
  5. Step 5: Solve for x
    x = 136,125,911.36/12,762.85
  6. Step 6: Final answer
    x = 10,665.79

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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.