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Finding the Fourth Proportional to 30,867.51, 46,295.03 and 8,681.91

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Solution

The fourth proportional to 30,867.51, 46,295.03 and 8,681.91 is: 13,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.51 : 46,295.03 = 8,681.91 : x
  2. Step 2: Convert to fraction form
    30,867.51/46,295.03 = 8,681.91/x
  3. Step 3: Cross multiply
    30,867.51x = 46,295.03 × 8,681.91
  4. Step 4: Simplify right side
    30,867.51x = 401,929,240.50
  5. Step 5: Solve for x
    x = 401,929,240.50/30,867.51
  6. Step 6: Final answer
    x = 13,021.11

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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.