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Finding the Fourth Proportional to 1,570.09, 2,166.74 and 871.47

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Solution

The fourth proportional to 1,570.09, 2,166.74 and 871.47 is: 1,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.09 : 2,166.74 = 871.47 : x
  2. Step 2: Convert to fraction form
    1,570.09/2,166.74 = 871.47/x
  3. Step 3: Cross multiply
    1,570.09x = 2,166.74 × 871.47
  4. Step 4: Simplify right side
    1,570.09x = 1,888,248.91
  5. Step 5: Solve for x
    x = 1,888,248.91/1,570.09
  6. Step 6: Final answer
    x = 1,202.64

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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.