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Finding the Fourth Proportional to 2,477.04, 3,715.56 and 917.58

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Solution

The fourth proportional to 2,477.04, 3,715.56 and 917.58 is: 1,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.04 : 3,715.56 = 917.58 : x
  2. Step 2: Convert to fraction form
    2,477.04/3,715.56 = 917.58/x
  3. Step 3: Cross multiply
    2,477.04x = 3,715.56 × 917.58
  4. Step 4: Simplify right side
    2,477.04x = 3,409,323.54
  5. Step 5: Solve for x
    x = 3,409,323.54/2,477.04
  6. Step 6: Final answer
    x = 1,376.37

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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.