Home / 1,531.80-2,114.04-934.32

Finding the Fourth Proportional to 1,531.80, 2,114.04 and 934.32

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Solution

The fourth proportional to 1,531.80, 2,114.04 and 934.32 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.80 : 2,114.04 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,531.80/2,114.04 = 934.32/x
  3. Step 3: Cross multiply
    1,531.80x = 2,114.04 × 934.32
  4. Step 4: Simplify right side
    1,531.80x = 1,975,189.85
  5. Step 5: Solve for x
    x = 1,975,189.85/1,531.80
  6. Step 6: Final answer
    x = 1,289.46

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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.