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Finding the Fourth Proportional to 31,075, 46,612.86 and 7,701.64

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Solution

The fourth proportional to 31,075, 46,612.86 and 7,701.64 is: 11,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075 : 46,612.86 = 7,701.64 : x
  2. Step 2: Convert to fraction form
    31,075/46,612.86 = 7,701.64/x
  3. Step 3: Cross multiply
    31,075x = 46,612.86 × 7,701.64
  4. Step 4: Simplify right side
    31,075x = 358,995,467.09
  5. Step 5: Solve for x
    x = 358,995,467.09/31,075
  6. Step 6: Final answer
    x = 11,552.55

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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.