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Finding the Fourth Proportional to 30,582.98, 42,186.54 and 19,234.52

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Solution

The fourth proportional to 30,582.98, 42,186.54 and 19,234.52 is: 26,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.98 : 42,186.54 = 19,234.52 : x
  2. Step 2: Convert to fraction form
    30,582.98/42,186.54 = 19,234.52/x
  3. Step 3: Cross multiply
    30,582.98x = 42,186.54 × 19,234.52
  4. Step 4: Simplify right side
    30,582.98x = 811,437,847.36
  5. Step 5: Solve for x
    x = 811,437,847.36/30,582.98
  6. Step 6: Final answer
    x = 26,532.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.