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Finding the Fourth Proportional to 9,651.84, 13,320.09 and 7,289.88

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Solution

The fourth proportional to 9,651.84, 13,320.09 and 7,289.88 is: 10,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.84 : 13,320.09 = 7,289.88 : x
  2. Step 2: Convert to fraction form
    9,651.84/13,320.09 = 7,289.88/x
  3. Step 3: Cross multiply
    9,651.84x = 13,320.09 × 7,289.88
  4. Step 4: Simplify right side
    9,651.84x = 97,101,857.69
  5. Step 5: Solve for x
    x = 97,101,857.69/9,651.84
  6. Step 6: Final answer
    x = 10,060.45

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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.