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Finding the Fourth Proportional to 30,557, 42,168.72 and 17,309

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Solution

The fourth proportional to 30,557, 42,168.72 and 17,309 is: 23,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557 : 42,168.72 = 17,309 : x
  2. Step 2: Convert to fraction form
    30,557/42,168.72 = 17,309/x
  3. Step 3: Cross multiply
    30,557x = 42,168.72 × 17,309
  4. Step 4: Simplify right side
    30,557x = 729,898,374.48
  5. Step 5: Solve for x
    x = 729,898,374.48/30,557
  6. Step 6: Final answer
    x = 23,886.45

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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.