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Finding the Fourth Proportional to 5,437, 8,155.52 and 1,333

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Solution

The fourth proportional to 5,437, 8,155.52 and 1,333 is: 1,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437 : 8,155.52 = 1,333 : x
  2. Step 2: Convert to fraction form
    5,437/8,155.52 = 1,333/x
  3. Step 3: Cross multiply
    5,437x = 8,155.52 × 1,333
  4. Step 4: Simplify right side
    5,437x = 10,871,308.16
  5. Step 5: Solve for x
    x = 10,871,308.16/5,437
  6. Step 6: Final answer
    x = 1,999.50

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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.