Home / 30,822-42,534.36-19,650.48

Finding the Fourth Proportional to 30,822, 42,534.36 and 19,650.48

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Solution

The fourth proportional to 30,822, 42,534.36 and 19,650.48 is: 27,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 42,534.36 = 19,650.48 : x
  2. Step 2: Convert to fraction form
    30,822/42,534.36 = 19,650.48/x
  3. Step 3: Cross multiply
    30,822x = 42,534.36 × 19,650.48
  4. Step 4: Simplify right side
    30,822x = 835,820,590.49
  5. Step 5: Solve for x
    x = 835,820,590.49/30,822
  6. Step 6: Final answer
    x = 27,117.66

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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.