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Finding the Fourth Proportional to 15,412.84, 23,108.47 and 7,897.93

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Solution

The fourth proportional to 15,412.84, 23,108.47 and 7,897.93 is: 11,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.84 : 23,108.47 = 7,897.93 : x
  2. Step 2: Convert to fraction form
    15,412.84/23,108.47 = 7,897.93/x
  3. Step 3: Cross multiply
    15,412.84x = 23,108.47 × 7,897.93
  4. Step 4: Simplify right side
    15,412.84x = 182,509,078.47
  5. Step 5: Solve for x
    x = 182,509,078.47/15,412.84
  6. Step 6: Final answer
    x = 11,841.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.