Home / 1,902.04-2,852.52-585.40

Finding the Fourth Proportional to 1,902.04, 2,852.52 and 585.40

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Solution

The fourth proportional to 1,902.04, 2,852.52 and 585.40 is: 877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.04 : 2,852.52 = 585.40 : x
  2. Step 2: Convert to fraction form
    1,902.04/2,852.52 = 585.40/x
  3. Step 3: Cross multiply
    1,902.04x = 2,852.52 × 585.40
  4. Step 4: Simplify right side
    1,902.04x = 1,669,865.21
  5. Step 5: Solve for x
    x = 1,669,865.21/1,902.04
  6. Step 6: Final answer
    x = 877.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.