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Finding the Fourth Proportional to 30,777.16, 46,149.32 and 15,971.16

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Solution

The fourth proportional to 30,777.16, 46,149.32 and 15,971.16 is: 23,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.16 : 46,149.32 = 15,971.16 : x
  2. Step 2: Convert to fraction form
    30,777.16/46,149.32 = 15,971.16/x
  3. Step 3: Cross multiply
    30,777.16x = 46,149.32 × 15,971.16
  4. Step 4: Simplify right side
    30,777.16x = 737,058,173.61
  5. Step 5: Solve for x
    x = 737,058,173.61/30,777.16
  6. Step 6: Final answer
    x = 23,948.22

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1.5x scale

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.