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Finding the Fourth Proportional to 31,211.64, 46,813.98 and 7,838.13

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Solution

The fourth proportional to 31,211.64, 46,813.98 and 7,838.13 is: 11,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.64 : 46,813.98 = 7,838.13 : x
  2. Step 2: Convert to fraction form
    31,211.64/46,813.98 = 7,838.13/x
  3. Step 3: Cross multiply
    31,211.64x = 46,813.98 × 7,838.13
  4. Step 4: Simplify right side
    31,211.64x = 366,934,061.06
  5. Step 5: Solve for x
    x = 366,934,061.06/31,211.64
  6. Step 6: Final answer
    x = 11,756.32

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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.