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Finding the Fourth Proportional to 15,577, 21,496.28 and 9,988

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Solution

The fourth proportional to 15,577, 21,496.28 and 9,988 is: 13,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577 : 21,496.28 = 9,988 : x
  2. Step 2: Convert to fraction form
    15,577/21,496.28 = 9,988/x
  3. Step 3: Cross multiply
    15,577x = 21,496.28 × 9,988
  4. Step 4: Simplify right side
    15,577x = 214,704,844.64
  5. Step 5: Solve for x
    x = 214,704,844.64/15,577
  6. Step 6: Final answer
    x = 13,783.45

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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.