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Finding the Fourth Proportional to 30,285.94, 45,415.95 and 10,558.66

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Solution

The fourth proportional to 30,285.94, 45,415.95 and 10,558.66 is: 15,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.94 : 45,415.95 = 10,558.66 : x
  2. Step 2: Convert to fraction form
    30,285.94/45,415.95 = 10,558.66/x
  3. Step 3: Cross multiply
    30,285.94x = 45,415.95 × 10,558.66
  4. Step 4: Simplify right side
    30,285.94x = 479,531,574.63
  5. Step 5: Solve for x
    x = 479,531,574.63/30,285.94
  6. Step 6: Final answer
    x = 15,833.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.