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Finding the Fourth Proportional to 13,737.56, 20,590.62 and 5,413

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Solution

The fourth proportional to 13,737.56, 20,590.62 and 5,413 is: 8,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.56 : 20,590.62 = 5,413 : x
  2. Step 2: Convert to fraction form
    13,737.56/20,590.62 = 5,413/x
  3. Step 3: Cross multiply
    13,737.56x = 20,590.62 × 5,413
  4. Step 4: Simplify right side
    13,737.56x = 111,457,026.06
  5. Step 5: Solve for x
    x = 111,457,026.06/13,737.56
  6. Step 6: Final answer
    x = 8,113.31

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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.