Home / 31,464.16-47,185-10,400.31

Finding the Fourth Proportional to 31,464.16, 47,185 and 10,400.31

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Solution

The fourth proportional to 31,464.16, 47,185 and 10,400.31 is: 15,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.16 : 47,185 = 10,400.31 : x
  2. Step 2: Convert to fraction form
    31,464.16/47,185 = 10,400.31/x
  3. Step 3: Cross multiply
    31,464.16x = 47,185 × 10,400.31
  4. Step 4: Simplify right side
    31,464.16x = 490,738,627.35
  5. Step 5: Solve for x
    x = 490,738,627.35/31,464.16
  6. Step 6: Final answer
    x = 15,596.75

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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.