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Finding the Fourth Proportional to 28,309.50, 42,465.06 and 7,533

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Solution

The fourth proportional to 28,309.50, 42,465.06 and 7,533 is: 11,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309.50 : 42,465.06 = 7,533 : x
  2. Step 2: Convert to fraction form
    28,309.50/42,465.06 = 7,533/x
  3. Step 3: Cross multiply
    28,309.50x = 42,465.06 × 7,533
  4. Step 4: Simplify right side
    28,309.50x = 319,889,296.98
  5. Step 5: Solve for x
    x = 319,889,296.98/28,309.50
  6. Step 6: Final answer
    x = 11,299.72

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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.