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Finding the Fourth Proportional to 28,573.98, 42,862.32 and 13,795.32

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Solution

The fourth proportional to 28,573.98, 42,862.32 and 13,795.32 is: 20,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,573.98 : 42,862.32 = 13,795.32 : x
  2. Step 2: Convert to fraction form
    28,573.98/42,862.32 = 13,795.32/x
  3. Step 3: Cross multiply
    28,573.98x = 42,862.32 × 13,795.32
  4. Step 4: Simplify right side
    28,573.98x = 591,299,420.34
  5. Step 5: Solve for x
    x = 591,299,420.34/28,573.98
  6. Step 6: Final answer
    x = 20,693.63

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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.