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Finding the Fourth Proportional to 9,312.59, 13,978.07 and 7,578.05

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Solution

The fourth proportional to 9,312.59, 13,978.07 and 7,578.05 is: 11,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.59 : 13,978.07 = 7,578.05 : x
  2. Step 2: Convert to fraction form
    9,312.59/13,978.07 = 7,578.05/x
  3. Step 3: Cross multiply
    9,312.59x = 13,978.07 × 7,578.05
  4. Step 4: Simplify right side
    9,312.59x = 105,926,405.58
  5. Step 5: Solve for x
    x = 105,926,405.58/9,312.59
  6. Step 6: Final answer
    x = 11,374.54

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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.