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Finding the Fourth Proportional to 1,477.56, 2,038.96 and 847.96

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Solution

The fourth proportional to 1,477.56, 2,038.96 and 847.96 is: 1,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.56 : 2,038.96 = 847.96 : x
  2. Step 2: Convert to fraction form
    1,477.56/2,038.96 = 847.96/x
  3. Step 3: Cross multiply
    1,477.56x = 2,038.96 × 847.96
  4. Step 4: Simplify right side
    1,477.56x = 1,728,954.40
  5. Step 5: Solve for x
    x = 1,728,954.40/1,477.56
  6. Step 6: Final answer
    x = 1,170.14

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Why These Related Problems?

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