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Finding the Fourth Proportional to 9,809.88, 13,538.30 and 5,560.89

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Solution

The fourth proportional to 9,809.88, 13,538.30 and 5,560.89 is: 7,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.88 : 13,538.30 = 5,560.89 : x
  2. Step 2: Convert to fraction form
    9,809.88/13,538.30 = 5,560.89/x
  3. Step 3: Cross multiply
    9,809.88x = 13,538.30 × 5,560.89
  4. Step 4: Simplify right side
    9,809.88x = 75,284,969.28
  5. Step 5: Solve for x
    x = 75,284,969.28/9,809.88
  6. Step 6: Final answer
    x = 7,674.40

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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.