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Finding the Fourth Proportional to 30,973.51, 46,462.03 and 8,785.15

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Solution

The fourth proportional to 30,973.51, 46,462.03 and 8,785.15 is: 13,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.51 : 46,462.03 = 8,785.15 : x
  2. Step 2: Convert to fraction form
    30,973.51/46,462.03 = 8,785.15/x
  3. Step 3: Cross multiply
    30,973.51x = 46,462.03 × 8,785.15
  4. Step 4: Simplify right side
    30,973.51x = 408,175,703.49
  5. Step 5: Solve for x
    x = 408,175,703.49/30,973.51
  6. Step 6: Final answer
    x = 13,178.22

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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.