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Finding the Fourth Proportional to 7,161.68, 9,883.98 and 4,509

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Solution

The fourth proportional to 7,161.68, 9,883.98 and 4,509 is: 6,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.68 : 9,883.98 = 4,509 : x
  2. Step 2: Convert to fraction form
    7,161.68/9,883.98 = 4,509/x
  3. Step 3: Cross multiply
    7,161.68x = 9,883.98 × 4,509
  4. Step 4: Simplify right side
    7,161.68x = 44,566,865.82
  5. Step 5: Solve for x
    x = 44,566,865.82/7,161.68
  6. Step 6: Final answer
    x = 6,222.96

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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.