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Finding the Fourth Proportional to 5,355, 8,032.60 and 1,459.51

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Solution

The fourth proportional to 5,355, 8,032.60 and 1,459.51 is: 2,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355 : 8,032.60 = 1,459.51 : x
  2. Step 2: Convert to fraction form
    5,355/8,032.60 = 1,459.51/x
  3. Step 3: Cross multiply
    5,355x = 8,032.60 × 1,459.51
  4. Step 4: Simplify right side
    5,355x = 11,723,641.77
  5. Step 5: Solve for x
    x = 11,723,641.77/5,355
  6. Step 6: Final answer
    x = 2,189.29

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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.