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Finding the Fourth Proportional to 30,710.65, 45,983.94 and 19,556.95

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Solution

The fourth proportional to 30,710.65, 45,983.94 and 19,556.95 is: 29,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.65 : 45,983.94 = 19,556.95 : x
  2. Step 2: Convert to fraction form
    30,710.65/45,983.94 = 19,556.95/x
  3. Step 3: Cross multiply
    30,710.65x = 45,983.94 × 19,556.95
  4. Step 4: Simplify right side
    30,710.65x = 899,305,615.38
  5. Step 5: Solve for x
    x = 899,305,615.38/30,710.65
  6. Step 6: Final answer
    x = 29,283.18

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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.