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Finding the Fourth Proportional to 9,900.59, 13,662.90 and 5,708.84

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Solution

The fourth proportional to 9,900.59, 13,662.90 and 5,708.84 is: 7,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.59 : 13,662.90 = 5,708.84 : x
  2. Step 2: Convert to fraction form
    9,900.59/13,662.90 = 5,708.84/x
  3. Step 3: Cross multiply
    9,900.59x = 13,662.90 × 5,708.84
  4. Step 4: Simplify right side
    9,900.59x = 77,999,310.04
  5. Step 5: Solve for x
    x = 77,999,310.04/9,900.59
  6. Step 6: Final answer
    x = 7,878.25

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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.