Home / 7,142.49-10,703.75-2,978.01

Finding the Fourth Proportional to 7,142.49, 10,703.75 and 2,978.01

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Solution

The fourth proportional to 7,142.49, 10,703.75 and 2,978.01 is: 4,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.49 : 10,703.75 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    7,142.49/10,703.75 = 2,978.01/x
  3. Step 3: Cross multiply
    7,142.49x = 10,703.75 × 2,978.01
  4. Step 4: Simplify right side
    7,142.49x = 31,875,859.65
  5. Step 5: Solve for x
    x = 31,875,859.65/7,142.49
  6. Step 6: Final answer
    x = 4,462.85

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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.