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Finding the Fourth Proportional to 1,666.74, 2,489.62 and 1,224.08

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Solution

The fourth proportional to 1,666.74, 2,489.62 and 1,224.08 is: 1,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.74 : 2,489.62 = 1,224.08 : x
  2. Step 2: Convert to fraction form
    1,666.74/2,489.62 = 1,224.08/x
  3. Step 3: Cross multiply
    1,666.74x = 2,489.62 × 1,224.08
  4. Step 4: Simplify right side
    1,666.74x = 3,047,487.83
  5. Step 5: Solve for x
    x = 3,047,487.83/1,666.74
  6. Step 6: Final answer
    x = 1,828.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.