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Finding the Fourth Proportional to 30,870, 42,611.04 and 19,237.32

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Solution

The fourth proportional to 30,870, 42,611.04 and 19,237.32 is: 26,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870 : 42,611.04 = 19,237.32 : x
  2. Step 2: Convert to fraction form
    30,870/42,611.04 = 19,237.32/x
  3. Step 3: Cross multiply
    30,870x = 42,611.04 × 19,237.32
  4. Step 4: Simplify right side
    30,870x = 819,722,212.01
  5. Step 5: Solve for x
    x = 819,722,212.01/30,870
  6. Step 6: Final answer
    x = 26,554.01

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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.