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Finding the Fourth Proportional to 12,953.79, 19,427.79 and 5,056.53

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Solution

The fourth proportional to 12,953.79, 19,427.79 and 5,056.53 is: 7,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.79 : 19,427.79 = 5,056.53 : x
  2. Step 2: Convert to fraction form
    12,953.79/19,427.79 = 5,056.53/x
  3. Step 3: Cross multiply
    12,953.79x = 19,427.79 × 5,056.53
  4. Step 4: Simplify right side
    12,953.79x = 98,237,202.97
  5. Step 5: Solve for x
    x = 98,237,202.97/12,953.79
  6. Step 6: Final answer
    x = 7,583.66

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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.