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Finding the Fourth Proportional to 7,001.26, 10,502.30 and 1,807

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Solution

The fourth proportional to 7,001.26, 10,502.30 and 1,807 is: 2,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.26 : 10,502.30 = 1,807 : x
  2. Step 2: Convert to fraction form
    7,001.26/10,502.30 = 1,807/x
  3. Step 3: Cross multiply
    7,001.26x = 10,502.30 × 1,807
  4. Step 4: Simplify right side
    7,001.26x = 18,977,656.10
  5. Step 5: Solve for x
    x = 18,977,656.10/7,001.26
  6. Step 6: Final answer
    x = 2,710.61

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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.