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Finding the Fourth Proportional to 28,599, 42,911.46 and 13,805.16

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Solution

The fourth proportional to 28,599, 42,911.46 and 13,805.16 is: 20,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,599 : 42,911.46 = 13,805.16 : x
  2. Step 2: Convert to fraction form
    28,599/42,911.46 = 13,805.16/x
  3. Step 3: Cross multiply
    28,599x = 42,911.46 × 13,805.16
  4. Step 4: Simplify right side
    28,599x = 592,399,571.13
  5. Step 5: Solve for x
    x = 592,399,571.13/28,599
  6. Step 6: Final answer
    x = 20,714.00

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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.