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Finding the Fourth Proportional to 31,097.84, 46,646.78 and 7,724.30

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Solution

The fourth proportional to 31,097.84, 46,646.78 and 7,724.30 is: 11,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.84 : 46,646.78 = 7,724.30 : x
  2. Step 2: Convert to fraction form
    31,097.84/46,646.78 = 7,724.30/x
  3. Step 3: Cross multiply
    31,097.84x = 46,646.78 × 7,724.30
  4. Step 4: Simplify right side
    31,097.84x = 360,313,450.90
  5. Step 5: Solve for x
    x = 360,313,450.90/31,097.84
  6. Step 6: Final answer
    x = 11,586.45

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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.