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Finding the Fourth Proportional to 5,807.60, 8,014.20 and 3,712.40

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Solution

The fourth proportional to 5,807.60, 8,014.20 and 3,712.40 is: 5,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.60 : 8,014.20 = 3,712.40 : x
  2. Step 2: Convert to fraction form
    5,807.60/8,014.20 = 3,712.40/x
  3. Step 3: Cross multiply
    5,807.60x = 8,014.20 × 3,712.40
  4. Step 4: Simplify right side
    5,807.60x = 29,751,916.08
  5. Step 5: Solve for x
    x = 29,751,916.08/5,807.60
  6. Step 6: Final answer
    x = 5,122.93

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1.5x scale

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.