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Finding the Fourth Proportional to 15,003.96, 20,705.76 and 9,708

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Solution

The fourth proportional to 15,003.96, 20,705.76 and 9,708 is: 13,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,003.96 : 20,705.76 = 9,708 : x
  2. Step 2: Convert to fraction form
    15,003.96/20,705.76 = 9,708/x
  3. Step 3: Cross multiply
    15,003.96x = 20,705.76 × 9,708
  4. Step 4: Simplify right side
    15,003.96x = 201,011,518.08
  5. Step 5: Solve for x
    x = 201,011,518.08/15,003.96
  6. Step 6: Final answer
    x = 13,397.23

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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.