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Finding the Fourth Proportional to 1,916.65, 2,646.03 and 1,804.60

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Solution

The fourth proportional to 1,916.65, 2,646.03 and 1,804.60 is: 2,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.65 : 2,646.03 = 1,804.60 : x
  2. Step 2: Convert to fraction form
    1,916.65/2,646.03 = 1,804.60/x
  3. Step 3: Cross multiply
    1,916.65x = 2,646.03 × 1,804.60
  4. Step 4: Simplify right side
    1,916.65x = 4,775,025.74
  5. Step 5: Solve for x
    x = 4,775,025.74/1,916.65
  6. Step 6: Final answer
    x = 2,491.34

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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.