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Finding the Fourth Proportional to 7,151.64, 10,727.58 and 1,957.52

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Solution

The fourth proportional to 7,151.64, 10,727.58 and 1,957.52 is: 2,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.64 : 10,727.58 = 1,957.52 : x
  2. Step 2: Convert to fraction form
    7,151.64/10,727.58 = 1,957.52/x
  3. Step 3: Cross multiply
    7,151.64x = 10,727.58 × 1,957.52
  4. Step 4: Simplify right side
    7,151.64x = 20,999,452.40
  5. Step 5: Solve for x
    x = 20,999,452.40/7,151.64
  6. Step 6: Final answer
    x = 2,936.31

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1.5x scale

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.