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Finding the Fourth Proportional to 31,310.79, 46,966.15 and 7,618.19

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Solution

The fourth proportional to 31,310.79, 46,966.15 and 7,618.19 is: 11,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.79 : 46,966.15 = 7,618.19 : x
  2. Step 2: Convert to fraction form
    31,310.79/46,966.15 = 7,618.19/x
  3. Step 3: Cross multiply
    31,310.79x = 46,966.15 × 7,618.19
  4. Step 4: Simplify right side
    31,310.79x = 357,797,054.27
  5. Step 5: Solve for x
    x = 357,797,054.27/31,310.79
  6. Step 6: Final answer
    x = 11,427.28

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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.