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Finding the Fourth Proportional to 28,237.32, 42,347.34 and 9,765

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Solution

The fourth proportional to 28,237.32, 42,347.34 and 9,765 is: 14,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,237.32 : 42,347.34 = 9,765 : x
  2. Step 2: Convert to fraction form
    28,237.32/42,347.34 = 9,765/x
  3. Step 3: Cross multiply
    28,237.32x = 42,347.34 × 9,765
  4. Step 4: Simplify right side
    28,237.32x = 413,521,775.10
  5. Step 5: Solve for x
    x = 413,521,775.10/28,237.32
  6. Step 6: Final answer
    x = 14,644.51

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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.