Home / 1,535.10-2,118.45-836.47

Finding the Fourth Proportional to 1,535.10, 2,118.45 and 836.47

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Solution

The fourth proportional to 1,535.10, 2,118.45 and 836.47 is: 1,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.10 : 2,118.45 = 836.47 : x
  2. Step 2: Convert to fraction form
    1,535.10/2,118.45 = 836.47/x
  3. Step 3: Cross multiply
    1,535.10x = 2,118.45 × 836.47
  4. Step 4: Simplify right side
    1,535.10x = 1,772,019.87
  5. Step 5: Solve for x
    x = 1,772,019.87/1,535.10
  6. Step 6: Final answer
    x = 1,154.34

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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.