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Finding the Fourth Proportional to 23,160, 34,740 and 8,368.59

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Solution

The fourth proportional to 23,160, 34,740 and 8,368.59 is: 12,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 34,740 = 8,368.59 : x
  2. Step 2: Convert to fraction form
    23,160/34,740 = 8,368.59/x
  3. Step 3: Cross multiply
    23,160x = 34,740 × 8,368.59
  4. Step 4: Simplify right side
    23,160x = 290,724,816.60
  5. Step 5: Solve for x
    x = 290,724,816.60/23,160
  6. Step 6: Final answer
    x = 12,552.89

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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.