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Finding the Fourth Proportional to 4,826.71, 7,239.12 and 1,538.92

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Solution

The fourth proportional to 4,826.71, 7,239.12 and 1,538.92 is: 2,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.71 : 7,239.12 = 1,538.92 : x
  2. Step 2: Convert to fraction form
    4,826.71/7,239.12 = 1,538.92/x
  3. Step 3: Cross multiply
    4,826.71x = 7,239.12 × 1,538.92
  4. Step 4: Simplify right side
    4,826.71x = 11,140,426.55
  5. Step 5: Solve for x
    x = 11,140,426.55/4,826.71
  6. Step 6: Final answer
    x = 2,308.08

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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.