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Finding the Fourth Proportional to 9,325.78, 12,865.53 and 5,345.98

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Solution

The fourth proportional to 9,325.78, 12,865.53 and 5,345.98 is: 7,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.78 : 12,865.53 = 5,345.98 : x
  2. Step 2: Convert to fraction form
    9,325.78/12,865.53 = 5,345.98/x
  3. Step 3: Cross multiply
    9,325.78x = 12,865.53 × 5,345.98
  4. Step 4: Simplify right side
    9,325.78x = 68,778,866.07
  5. Step 5: Solve for x
    x = 68,778,866.07/9,325.78
  6. Step 6: Final answer
    x = 7,375.13

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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.