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Finding the Fourth Proportional to 7,151.94, 9,849.24 and 6,999.30

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Solution

The fourth proportional to 7,151.94, 9,849.24 and 6,999.30 is: 9,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.94 : 9,849.24 = 6,999.30 : x
  2. Step 2: Convert to fraction form
    7,151.94/9,849.24 = 6,999.30/x
  3. Step 3: Cross multiply
    7,151.94x = 9,849.24 × 6,999.30
  4. Step 4: Simplify right side
    7,151.94x = 68,937,785.53
  5. Step 5: Solve for x
    x = 68,937,785.53/7,151.94
  6. Step 6: Final answer
    x = 9,639.03

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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.