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Finding the Fourth Proportional to 7,292.58, 10,943.30 and 2,909.67

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Solution

The fourth proportional to 7,292.58, 10,943.30 and 2,909.67 is: 4,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.58 : 10,943.30 = 2,909.67 : x
  2. Step 2: Convert to fraction form
    7,292.58/10,943.30 = 2,909.67/x
  3. Step 3: Cross multiply
    7,292.58x = 10,943.30 × 2,909.67
  4. Step 4: Simplify right side
    7,292.58x = 31,841,419.50
  5. Step 5: Solve for x
    x = 31,841,419.50/7,292.58
  6. Step 6: Final answer
    x = 4,366.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.