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Finding the Fourth Proportional to 12,800.19, 17,659.19 and 7,762.57

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Solution

The fourth proportional to 12,800.19, 17,659.19 and 7,762.57 is: 10,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.19 : 17,659.19 = 7,762.57 : x
  2. Step 2: Convert to fraction form
    12,800.19/17,659.19 = 7,762.57/x
  3. Step 3: Cross multiply
    12,800.19x = 17,659.19 × 7,762.57
  4. Step 4: Simplify right side
    12,800.19x = 137,080,659.71
  5. Step 5: Solve for x
    x = 137,080,659.71/12,800.19
  6. Step 6: Final answer
    x = 10,709.27

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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.