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Finding the Fourth Proportional to 5,346, 7,379.54 and 4,785.48

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Solution

The fourth proportional to 5,346, 7,379.54 and 4,785.48 is: 6,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 7,379.54 = 4,785.48 : x
  2. Step 2: Convert to fraction form
    5,346/7,379.54 = 4,785.48/x
  3. Step 3: Cross multiply
    5,346x = 7,379.54 × 4,785.48
  4. Step 4: Simplify right side
    5,346x = 35,314,641.08
  5. Step 5: Solve for x
    x = 35,314,641.08/5,346
  6. Step 6: Final answer
    x = 6,605.81

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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.