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Finding the Fourth Proportional to 9,762.52, 13,407.29 and 8,187.88

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Solution

The fourth proportional to 9,762.52, 13,407.29 and 8,187.88 is: 11,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.52 : 13,407.29 = 8,187.88 : x
  2. Step 2: Convert to fraction form
    9,762.52/13,407.29 = 8,187.88/x
  3. Step 3: Cross multiply
    9,762.52x = 13,407.29 × 8,187.88
  4. Step 4: Simplify right side
    9,762.52x = 109,777,281.65
  5. Step 5: Solve for x
    x = 109,777,281.65/9,762.52
  6. Step 6: Final answer
    x = 11,244.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.