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Finding the Fourth Proportional to 2,307.46, 3,181.88 and 1,520.50

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Solution

The fourth proportional to 2,307.46, 3,181.88 and 1,520.50 is: 2,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.46 : 3,181.88 = 1,520.50 : x
  2. Step 2: Convert to fraction form
    2,307.46/3,181.88 = 1,520.50/x
  3. Step 3: Cross multiply
    2,307.46x = 3,181.88 × 1,520.50
  4. Step 4: Simplify right side
    2,307.46x = 4,838,048.54
  5. Step 5: Solve for x
    x = 4,838,048.54/2,307.46
  6. Step 6: Final answer
    x = 2,096.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.