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Finding the Fourth Proportional to 7,709.12, 10,623.84 and 5,497.28

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Solution

The fourth proportional to 7,709.12, 10,623.84 and 5,497.28 is: 7,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.12 : 10,623.84 = 5,497.28 : x
  2. Step 2: Convert to fraction form
    7,709.12/10,623.84 = 5,497.28/x
  3. Step 3: Cross multiply
    7,709.12x = 10,623.84 × 5,497.28
  4. Step 4: Simplify right side
    7,709.12x = 58,402,223.16
  5. Step 5: Solve for x
    x = 58,402,223.16/7,709.12
  6. Step 6: Final answer
    x = 7,575.73

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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.