Home / 1,577.45-2,177.16-914.47

Finding the Fourth Proportional to 1,577.45, 2,177.16 and 914.47

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Solution

The fourth proportional to 1,577.45, 2,177.16 and 914.47 is: 1,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.45 : 2,177.16 = 914.47 : x
  2. Step 2: Convert to fraction form
    1,577.45/2,177.16 = 914.47/x
  3. Step 3: Cross multiply
    1,577.45x = 2,177.16 × 914.47
  4. Step 4: Simplify right side
    1,577.45x = 1,990,947.51
  5. Step 5: Solve for x
    x = 1,990,947.51/1,577.45
  6. Step 6: Final answer
    x = 1,262.13

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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.