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Finding the Fourth Proportional to 7,127.91, 9,834.84 and 4,294.53

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Solution

The fourth proportional to 7,127.91, 9,834.84 and 4,294.53 is: 5,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.91 : 9,834.84 = 4,294.53 : x
  2. Step 2: Convert to fraction form
    7,127.91/9,834.84 = 4,294.53/x
  3. Step 3: Cross multiply
    7,127.91x = 9,834.84 × 4,294.53
  4. Step 4: Simplify right side
    7,127.91x = 42,236,015.43
  5. Step 5: Solve for x
    x = 42,236,015.43/7,127.91
  6. Step 6: Final answer
    x = 5,925.44

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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.