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Finding the Fourth Proportional to 7,020.64, 10,530.93 and 1,826.50

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Solution

The fourth proportional to 7,020.64, 10,530.93 and 1,826.50 is: 2,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.64 : 10,530.93 = 1,826.50 : x
  2. Step 2: Convert to fraction form
    7,020.64/10,530.93 = 1,826.50/x
  3. Step 3: Cross multiply
    7,020.64x = 10,530.93 × 1,826.50
  4. Step 4: Simplify right side
    7,020.64x = 19,234,743.65
  5. Step 5: Solve for x
    x = 19,234,743.65/7,020.64
  6. Step 6: Final answer
    x = 2,739.74

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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.