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Finding the Fourth Proportional to 31,275.96, 46,914.02 and 7,902.20

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Solution

The fourth proportional to 31,275.96, 46,914.02 and 7,902.20 is: 11,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.96 : 46,914.02 = 7,902.20 : x
  2. Step 2: Convert to fraction form
    31,275.96/46,914.02 = 7,902.20/x
  3. Step 3: Cross multiply
    31,275.96x = 46,914.02 × 7,902.20
  4. Step 4: Simplify right side
    31,275.96x = 370,723,968.84
  5. Step 5: Solve for x
    x = 370,723,968.84/31,275.96
  6. Step 6: Final answer
    x = 11,853.32

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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.