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Finding the Fourth Proportional to 7,491.80, 10,340.74 and 4,349

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Solution

The fourth proportional to 7,491.80, 10,340.74 and 4,349 is: 6,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.80 : 10,340.74 = 4,349 : x
  2. Step 2: Convert to fraction form
    7,491.80/10,340.74 = 4,349/x
  3. Step 3: Cross multiply
    7,491.80x = 10,340.74 × 4,349
  4. Step 4: Simplify right side
    7,491.80x = 44,971,878.26
  5. Step 5: Solve for x
    x = 44,971,878.26/7,491.80
  6. Step 6: Final answer
    x = 6,002.81

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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.