Home / 1,564.42-2,158.87-935.09

Finding the Fourth Proportional to 1,564.42, 2,158.87 and 935.09

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Solution

The fourth proportional to 1,564.42, 2,158.87 and 935.09 is: 1,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.42 : 2,158.87 = 935.09 : x
  2. Step 2: Convert to fraction form
    1,564.42/2,158.87 = 935.09/x
  3. Step 3: Cross multiply
    1,564.42x = 2,158.87 × 935.09
  4. Step 4: Simplify right side
    1,564.42x = 2,018,724.45
  5. Step 5: Solve for x
    x = 2,018,724.45/1,564.42
  6. Step 6: Final answer
    x = 1,290.40

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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.