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Finding the Fourth Proportional to 15,984, 23,984.64 and 7,776

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Solution

The fourth proportional to 15,984, 23,984.64 and 7,776 is: 11,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 23,984.64 = 7,776 : x
  2. Step 2: Convert to fraction form
    15,984/23,984.64 = 7,776/x
  3. Step 3: Cross multiply
    15,984x = 23,984.64 × 7,776
  4. Step 4: Simplify right side
    15,984x = 186,504,560.64
  5. Step 5: Solve for x
    x = 186,504,560.64/15,984
  6. Step 6: Final answer
    x = 11,668.20

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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.