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Finding the Fourth Proportional to 10,708.56, 14,782.86 and 7,174.08

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Solution

The fourth proportional to 10,708.56, 14,782.86 and 7,174.08 is: 9,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.56 : 14,782.86 = 7,174.08 : x
  2. Step 2: Convert to fraction form
    10,708.56/14,782.86 = 7,174.08/x
  3. Step 3: Cross multiply
    10,708.56x = 14,782.86 × 7,174.08
  4. Step 4: Simplify right side
    10,708.56x = 106,053,420.27
  5. Step 5: Solve for x
    x = 106,053,420.27/10,708.56
  6. Step 6: Final answer
    x = 9,903.61

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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.