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Finding the Fourth Proportional to 11,557.58, 17,315.69 and 9,897.90

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Solution

The fourth proportional to 11,557.58, 17,315.69 and 9,897.90 is: 14,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.58 : 17,315.69 = 9,897.90 : x
  2. Step 2: Convert to fraction form
    11,557.58/17,315.69 = 9,897.90/x
  3. Step 3: Cross multiply
    11,557.58x = 17,315.69 × 9,897.90
  4. Step 4: Simplify right side
    11,557.58x = 171,388,968.05
  5. Step 5: Solve for x
    x = 171,388,968.05/11,557.58
  6. Step 6: Final answer
    x = 14,829.14

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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.