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Finding the Fourth Proportional to 9,965.68, 13,754.28 and 7,603.36

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Solution

The fourth proportional to 9,965.68, 13,754.28 and 7,603.36 is: 10,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.68 : 13,754.28 = 7,603.36 : x
  2. Step 2: Convert to fraction form
    9,965.68/13,754.28 = 7,603.36/x
  3. Step 3: Cross multiply
    9,965.68x = 13,754.28 × 7,603.36
  4. Step 4: Simplify right side
    9,965.68x = 104,578,742.38
  5. Step 5: Solve for x
    x = 104,578,742.38/9,965.68
  6. Step 6: Final answer
    x = 10,493.89

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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.