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Finding the Fourth Proportional to 15,556, 21,470.63 and 9,180.22

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Solution

The fourth proportional to 15,556, 21,470.63 and 9,180.22 is: 12,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,556 : 21,470.63 = 9,180.22 : x
  2. Step 2: Convert to fraction form
    15,556/21,470.63 = 9,180.22/x
  3. Step 3: Cross multiply
    15,556x = 21,470.63 × 9,180.22
  4. Step 4: Simplify right side
    15,556x = 197,105,106.94
  5. Step 5: Solve for x
    x = 197,105,106.94/15,556
  6. Step 6: Final answer
    x = 12,670.68

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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.