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Finding the Fourth Proportional to 5,200.38, 7,804.08 and 1,916.10

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Solution

The fourth proportional to 5,200.38, 7,804.08 and 1,916.10 is: 2,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.38 : 7,804.08 = 1,916.10 : x
  2. Step 2: Convert to fraction form
    5,200.38/7,804.08 = 1,916.10/x
  3. Step 3: Cross multiply
    5,200.38x = 7,804.08 × 1,916.10
  4. Step 4: Simplify right side
    5,200.38x = 14,953,397.69
  5. Step 5: Solve for x
    x = 14,953,397.69/5,200.38
  6. Step 6: Final answer
    x = 2,875.44

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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.