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Finding the Fourth Proportional to 7,412.64, 11,054.64 and 6,324

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Solution

The fourth proportional to 7,412.64, 11,054.64 and 6,324 is: 9,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.64 : 11,054.64 = 6,324 : x
  2. Step 2: Convert to fraction form
    7,412.64/11,054.64 = 6,324/x
  3. Step 3: Cross multiply
    7,412.64x = 11,054.64 × 6,324
  4. Step 4: Simplify right side
    7,412.64x = 69,909,543.36
  5. Step 5: Solve for x
    x = 69,909,543.36/7,412.64
  6. Step 6: Final answer
    x = 9,431.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.