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Finding the Fourth Proportional to 5,335, 7,350.64 and 3,985

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Solution

The fourth proportional to 5,335, 7,350.64 and 3,985 is: 5,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335 : 7,350.64 = 3,985 : x
  2. Step 2: Convert to fraction form
    5,335/7,350.64 = 3,985/x
  3. Step 3: Cross multiply
    5,335x = 7,350.64 × 3,985
  4. Step 4: Simplify right side
    5,335x = 29,292,300.40
  5. Step 5: Solve for x
    x = 29,292,300.40/5,335
  6. Step 6: Final answer
    x = 5,490.59

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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.