Home / 1,577.46-2,176.63-914.20

Finding the Fourth Proportional to 1,577.46, 2,176.63 and 914.20

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Solution

The fourth proportional to 1,577.46, 2,176.63 and 914.20 is: 1,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.46 : 2,176.63 = 914.20 : x
  2. Step 2: Convert to fraction form
    1,577.46/2,176.63 = 914.20/x
  3. Step 3: Cross multiply
    1,577.46x = 2,176.63 × 914.20
  4. Step 4: Simplify right side
    1,577.46x = 1,989,875.15
  5. Step 5: Solve for x
    x = 1,989,875.15/1,577.46
  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.