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Finding the Fourth Proportional to 5,200.77, 7,804.23 and 1,916.17

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Solution

The fourth proportional to 5,200.77, 7,804.23 and 1,916.17 is: 2,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.77 : 7,804.23 = 1,916.17 : x
  2. Step 2: Convert to fraction form
    5,200.77/7,804.23 = 1,916.17/x
  3. Step 3: Cross multiply
    5,200.77x = 7,804.23 × 1,916.17
  4. Step 4: Simplify right side
    5,200.77x = 14,954,259.38
  5. Step 5: Solve for x
    x = 14,954,259.38/5,200.77
  6. Step 6: Final answer
    x = 2,875.39

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1.5x scale

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.