Home / 30,703.42-46,077-13,178.26

Finding the Fourth Proportional to 30,703.42, 46,077 and 13,178.26

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Solution

The fourth proportional to 30,703.42, 46,077 and 13,178.26 is: 19,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.42 : 46,077 = 13,178.26 : x
  2. Step 2: Convert to fraction form
    30,703.42/46,077 = 13,178.26/x
  3. Step 3: Cross multiply
    30,703.42x = 46,077 × 13,178.26
  4. Step 4: Simplify right side
    30,703.42x = 607,214,686.02
  5. Step 5: Solve for x
    x = 607,214,686.02/30,703.42
  6. Step 6: Final answer
    x = 19,776.78

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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.