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Finding the Fourth Proportional to 30,674, 42,312.79 and 19,324.01

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Solution

The fourth proportional to 30,674, 42,312.79 and 19,324.01 is: 26,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674 : 42,312.79 = 19,324.01 : x
  2. Step 2: Convert to fraction form
    30,674/42,312.79 = 19,324.01/x
  3. Step 3: Cross multiply
    30,674x = 42,312.79 × 19,324.01
  4. Step 4: Simplify right side
    30,674x = 817,652,777.09
  5. Step 5: Solve for x
    x = 817,652,777.09/30,674
  6. Step 6: Final answer
    x = 26,656.22

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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.