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Finding the Fourth Proportional to 12,973.60, 19,431.60 and 5,178.40

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Solution

The fourth proportional to 12,973.60, 19,431.60 and 5,178.40 is: 7,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.60 : 19,431.60 = 5,178.40 : x
  2. Step 2: Convert to fraction form
    12,973.60/19,431.60 = 5,178.40/x
  3. Step 3: Cross multiply
    12,973.60x = 19,431.60 × 5,178.40
  4. Step 4: Simplify right side
    12,973.60x = 100,624,597.44
  5. Step 5: Solve for x
    x = 100,624,597.44/12,973.60
  6. Step 6: Final answer
    x = 7,756.10

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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.