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Finding the Fourth Proportional to 12,840.64, 19,248 and 5,046.40

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Solution

The fourth proportional to 12,840.64, 19,248 and 5,046.40 is: 7,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.64 : 19,248 = 5,046.40 : x
  2. Step 2: Convert to fraction form
    12,840.64/19,248 = 5,046.40/x
  3. Step 3: Cross multiply
    12,840.64x = 19,248 × 5,046.40
  4. Step 4: Simplify right side
    12,840.64x = 97,133,107.20
  5. Step 5: Solve for x
    x = 97,133,107.20/12,840.64
  6. Step 6: Final answer
    x = 7,564.51

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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.