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Finding the Fourth Proportional to 1,542.10, 2,309.01 and 810.13

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Solution

The fourth proportional to 1,542.10, 2,309.01 and 810.13 is: 1,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.10 : 2,309.01 = 810.13 : x
  2. Step 2: Convert to fraction form
    1,542.10/2,309.01 = 810.13/x
  3. Step 3: Cross multiply
    1,542.10x = 2,309.01 × 810.13
  4. Step 4: Simplify right side
    1,542.10x = 1,870,598.27
  5. Step 5: Solve for x
    x = 1,870,598.27/1,542.10
  6. Step 6: Final answer
    x = 1,213.02

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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.