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Finding the Fourth Proportional to 12,708.76, 19,047.06 and 6,459.40

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Solution

The fourth proportional to 12,708.76, 19,047.06 and 6,459.40 is: 9,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.76 : 19,047.06 = 6,459.40 : x
  2. Step 2: Convert to fraction form
    12,708.76/19,047.06 = 6,459.40/x
  3. Step 3: Cross multiply
    12,708.76x = 19,047.06 × 6,459.40
  4. Step 4: Simplify right side
    12,708.76x = 123,032,579.36
  5. Step 5: Solve for x
    x = 123,032,579.36/12,708.76
  6. Step 6: Final answer
    x = 9,680.93

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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.