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Finding the Fourth Proportional to 7,826.12, 10,798.02 and 4,843.40

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Solution

The fourth proportional to 7,826.12, 10,798.02 and 4,843.40 is: 6,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.12 : 10,798.02 = 4,843.40 : x
  2. Step 2: Convert to fraction form
    7,826.12/10,798.02 = 4,843.40/x
  3. Step 3: Cross multiply
    7,826.12x = 10,798.02 × 4,843.40
  4. Step 4: Simplify right side
    7,826.12x = 52,299,130.07
  5. Step 5: Solve for x
    x = 52,299,130.07/7,826.12
  6. Step 6: Final answer
    x = 6,682.64

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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.