Home / 1,533.10-2,115.69-869.84

Finding the Fourth Proportional to 1,533.10, 2,115.69 and 869.84

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Solution

The fourth proportional to 1,533.10, 2,115.69 and 869.84 is: 1,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.10 : 2,115.69 = 869.84 : x
  2. Step 2: Convert to fraction form
    1,533.10/2,115.69 = 869.84/x
  3. Step 3: Cross multiply
    1,533.10x = 2,115.69 × 869.84
  4. Step 4: Simplify right side
    1,533.10x = 1,840,301.21
  5. Step 5: Solve for x
    x = 1,840,301.21/1,533.10
  6. Step 6: Final answer
    x = 1,200.38

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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.