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Finding the Fourth Proportional to 1,570.87, 2,166.99 and 941.10

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Solution

The fourth proportional to 1,570.87, 2,166.99 and 941.10 is: 1,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.87 : 2,166.99 = 941.10 : x
  2. Step 2: Convert to fraction form
    1,570.87/2,166.99 = 941.10/x
  3. Step 3: Cross multiply
    1,570.87x = 2,166.99 × 941.10
  4. Step 4: Simplify right side
    1,570.87x = 2,039,342.63
  5. Step 5: Solve for x
    x = 2,039,342.63/1,570.87
  6. Step 6: Final answer
    x = 1,298.22

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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.