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Finding the Fourth Proportional to 9,899.82, 13,653.36 and 7,657.74

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Solution

The fourth proportional to 9,899.82, 13,653.36 and 7,657.74 is: 10,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.82 : 13,653.36 = 7,657.74 : x
  2. Step 2: Convert to fraction form
    9,899.82/13,653.36 = 7,657.74/x
  3. Step 3: Cross multiply
    9,899.82x = 13,653.36 × 7,657.74
  4. Step 4: Simplify right side
    9,899.82x = 104,553,881.01
  5. Step 5: Solve for x
    x = 104,553,881.01/9,899.82
  6. Step 6: Final answer
    x = 10,561.19

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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.