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Finding the Fourth Proportional to 15,573, 21,490.74 and 9,984

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Solution

The fourth proportional to 15,573, 21,490.74 and 9,984 is: 13,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573 : 21,490.74 = 9,984 : x
  2. Step 2: Convert to fraction form
    15,573/21,490.74 = 9,984/x
  3. Step 3: Cross multiply
    15,573x = 21,490.74 × 9,984
  4. Step 4: Simplify right side
    15,573x = 214,563,548.16
  5. Step 5: Solve for x
    x = 214,563,548.16/15,573
  6. Step 6: Final answer
    x = 13,777.92

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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.