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Finding the Fourth Proportional to 1,574.35, 2,172.60 and 866.24

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Solution

The fourth proportional to 1,574.35, 2,172.60 and 866.24 is: 1,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.35 : 2,172.60 = 866.24 : x
  2. Step 2: Convert to fraction form
    1,574.35/2,172.60 = 866.24/x
  3. Step 3: Cross multiply
    1,574.35x = 2,172.60 × 866.24
  4. Step 4: Simplify right side
    1,574.35x = 1,881,993.02
  5. Step 5: Solve for x
    x = 1,881,993.02/1,574.35
  6. Step 6: Final answer
    x = 1,195.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.