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Finding the Fourth Proportional to 30,731.65, 42,421.60 and 24,019.46

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Solution

The fourth proportional to 30,731.65, 42,421.60 and 24,019.46 is: 33,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.65 : 42,421.60 = 24,019.46 : x
  2. Step 2: Convert to fraction form
    30,731.65/42,421.60 = 24,019.46/x
  3. Step 3: Cross multiply
    30,731.65x = 42,421.60 × 24,019.46
  4. Step 4: Simplify right side
    30,731.65x = 1,018,943,953.09
  5. Step 5: Solve for x
    x = 1,018,943,953.09/30,731.65
  6. Step 6: Final answer
    x = 33,156.17

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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.