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Finding the Fourth Proportional to 31,079.84, 46,619.70 and 7,706.28

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Solution

The fourth proportional to 31,079.84, 46,619.70 and 7,706.28 is: 11,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.84 : 46,619.70 = 7,706.28 : x
  2. Step 2: Convert to fraction form
    31,079.84/46,619.70 = 7,706.28/x
  3. Step 3: Cross multiply
    31,079.84x = 46,619.70 × 7,706.28
  4. Step 4: Simplify right side
    31,079.84x = 359,264,461.72
  5. Step 5: Solve for x
    x = 359,264,461.72/31,079.84
  6. Step 6: Final answer
    x = 11,559.41

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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.