Home / 1,442.50-1,992.30-975.94

Finding the Fourth Proportional to 1,442.50, 1,992.30 and 975.94

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Solution

The fourth proportional to 1,442.50, 1,992.30 and 975.94 is: 1,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.50 : 1,992.30 = 975.94 : x
  2. Step 2: Convert to fraction form
    1,442.50/1,992.30 = 975.94/x
  3. Step 3: Cross multiply
    1,442.50x = 1,992.30 × 975.94
  4. Step 4: Simplify right side
    1,442.50x = 1,944,365.26
  5. Step 5: Solve for x
    x = 1,944,365.26/1,442.50
  6. Step 6: Final answer
    x = 1,347.91

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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.