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Finding the Fourth Proportional to 7,440, 11,153.64 and 3,054.72

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Solution

The fourth proportional to 7,440, 11,153.64 and 3,054.72 is: 4,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440 : 11,153.64 = 3,054.72 : x
  2. Step 2: Convert to fraction form
    7,440/11,153.64 = 3,054.72/x
  3. Step 3: Cross multiply
    7,440x = 11,153.64 × 3,054.72
  4. Step 4: Simplify right side
    7,440x = 34,071,247.18
  5. Step 5: Solve for x
    x = 34,071,247.18/7,440
  6. Step 6: Final answer
    x = 4,579.47

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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.