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Finding the Fourth Proportional to 3,106.94, 4,661.18 and 915.66

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Solution

The fourth proportional to 3,106.94, 4,661.18 and 915.66 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.94 : 4,661.18 = 915.66 : x
  2. Step 2: Convert to fraction form
    3,106.94/4,661.18 = 915.66/x
  3. Step 3: Cross multiply
    3,106.94x = 4,661.18 × 915.66
  4. Step 4: Simplify right side
    3,106.94x = 4,268,051.50
  5. Step 5: Solve for x
    x = 4,268,051.50/3,106.94
  6. Step 6: Final answer
    x = 1,373.72

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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.