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Finding the Fourth Proportional to 1,210.56, 1,813.74 and 952.21

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Solution

The fourth proportional to 1,210.56, 1,813.74 and 952.21 is: 1,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.56 : 1,813.74 = 952.21 : x
  2. Step 2: Convert to fraction form
    1,210.56/1,813.74 = 952.21/x
  3. Step 3: Cross multiply
    1,210.56x = 1,813.74 × 952.21
  4. Step 4: Simplify right side
    1,210.56x = 1,727,061.37
  5. Step 5: Solve for x
    x = 1,727,061.37/1,210.56
  6. Step 6: Final answer
    x = 1,426.66

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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.