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Finding the Fourth Proportional to 15,762.60, 21,731.59 and 12,734.31

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Solution

The fourth proportional to 15,762.60, 21,731.59 and 12,734.31 is: 17,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.60 : 21,731.59 = 12,734.31 : x
  2. Step 2: Convert to fraction form
    15,762.60/21,731.59 = 12,734.31/x
  3. Step 3: Cross multiply
    15,762.60x = 21,731.59 × 12,734.31
  4. Step 4: Simplify right side
    15,762.60x = 276,736,901.26
  5. Step 5: Solve for x
    x = 276,736,901.26/15,762.60
  6. Step 6: Final answer
    x = 17,556.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.