Home / 1,533.74-2,114.15-1,406.62

Finding the Fourth Proportional to 1,533.74, 2,114.15 and 1,406.62

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Solution

The fourth proportional to 1,533.74, 2,114.15 and 1,406.62 is: 1,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.74 : 2,114.15 = 1,406.62 : x
  2. Step 2: Convert to fraction form
    1,533.74/2,114.15 = 1,406.62/x
  3. Step 3: Cross multiply
    1,533.74x = 2,114.15 × 1,406.62
  4. Step 4: Simplify right side
    1,533.74x = 2,973,797.30
  5. Step 5: Solve for x
    x = 2,973,797.30/1,533.74
  6. Step 6: Final answer
    x = 1,938.93

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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.