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Finding the Fourth Proportional to 9,708.51, 13,389.51 and 8,203.46

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Solution

The fourth proportional to 9,708.51, 13,389.51 and 8,203.46 is: 11,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.51 : 13,389.51 = 8,203.46 : x
  2. Step 2: Convert to fraction form
    9,708.51/13,389.51 = 8,203.46/x
  3. Step 3: Cross multiply
    9,708.51x = 13,389.51 × 8,203.46
  4. Step 4: Simplify right side
    9,708.51x = 109,840,242.76
  5. Step 5: Solve for x
    x = 109,840,242.76/9,708.51
  6. Step 6: Final answer
    x = 11,313.81

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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.