Home / 1,577.52-2,176.80-914.16

Finding the Fourth Proportional to 1,577.52, 2,176.80 and 914.16

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Solution

The fourth proportional to 1,577.52, 2,176.80 and 914.16 is: 1,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.52 : 2,176.80 = 914.16 : x
  2. Step 2: Convert to fraction form
    1,577.52/2,176.80 = 914.16/x
  3. Step 3: Cross multiply
    1,577.52x = 2,176.80 × 914.16
  4. Step 4: Simplify right side
    1,577.52x = 1,989,943.49
  5. Step 5: Solve for x
    x = 1,989,943.49/1,577.52
  6. Step 6: Final answer
    x = 1,261.44

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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.