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Finding the Fourth Proportional to 30,828.65, 42,543.56 and 16,681.46

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Solution

The fourth proportional to 30,828.65, 42,543.56 and 16,681.46 is: 23,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.65 : 42,543.56 = 16,681.46 : x
  2. Step 2: Convert to fraction form
    30,828.65/42,543.56 = 16,681.46/x
  3. Step 3: Cross multiply
    30,828.65x = 42,543.56 × 16,681.46
  4. Step 4: Simplify right side
    30,828.65x = 709,688,523.38
  5. Step 5: Solve for x
    x = 709,688,523.38/30,828.65
  6. Step 6: Final answer
    x = 23,020.43

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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.