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Finding the Fourth Proportional to 9,332.35, 12,878.64 and 5,140.60

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Solution

The fourth proportional to 9,332.35, 12,878.64 and 5,140.60 is: 7,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.35 : 12,878.64 = 5,140.60 : x
  2. Step 2: Convert to fraction form
    9,332.35/12,878.64 = 5,140.60/x
  3. Step 3: Cross multiply
    9,332.35x = 12,878.64 × 5,140.60
  4. Step 4: Simplify right side
    9,332.35x = 66,203,904.59
  5. Step 5: Solve for x
    x = 66,203,904.59/9,332.35
  6. Step 6: Final answer
    x = 7,094.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.