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Finding the Fourth Proportional to 1,785.02, 2,675.10 and 1,783.40

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Solution

The fourth proportional to 1,785.02, 2,675.10 and 1,783.40 is: 2,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.02 : 2,675.10 = 1,783.40 : x
  2. Step 2: Convert to fraction form
    1,785.02/2,675.10 = 1,783.40/x
  3. Step 3: Cross multiply
    1,785.02x = 2,675.10 × 1,783.40
  4. Step 4: Simplify right side
    1,785.02x = 4,770,773.34
  5. Step 5: Solve for x
    x = 4,770,773.34/1,785.02
  6. Step 6: Final answer
    x = 2,672.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.