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Finding the Fourth Proportional to 7,854.21, 10,827.23 and 5,021.24

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Solution

The fourth proportional to 7,854.21, 10,827.23 and 5,021.24 is: 6,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.21 : 10,827.23 = 5,021.24 : x
  2. Step 2: Convert to fraction form
    7,854.21/10,827.23 = 5,021.24/x
  3. Step 3: Cross multiply
    7,854.21x = 10,827.23 × 5,021.24
  4. Step 4: Simplify right side
    7,854.21x = 54,366,041.12
  5. Step 5: Solve for x
    x = 54,366,041.12/7,854.21
  6. Step 6: Final answer
    x = 6,921.90

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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.