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Finding the Fourth Proportional to 30,866.04, 46,289.40 and 11,142

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Solution

The fourth proportional to 30,866.04, 46,289.40 and 11,142 is: 16,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.04 : 46,289.40 = 11,142 : x
  2. Step 2: Convert to fraction form
    30,866.04/46,289.40 = 11,142/x
  3. Step 3: Cross multiply
    30,866.04x = 46,289.40 × 11,142
  4. Step 4: Simplify right side
    30,866.04x = 515,756,494.80
  5. Step 5: Solve for x
    x = 515,756,494.80/30,866.04
  6. Step 6: Final answer
    x = 16,709.51

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Why These Related Problems?

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