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Finding the Fourth Proportional to 12,706.56, 19,064.64 and 5,316

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Solution

The fourth proportional to 12,706.56, 19,064.64 and 5,316 is: 7,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 19,064.64 = 5,316 : x
  2. Step 2: Convert to fraction form
    12,706.56/19,064.64 = 5,316/x
  3. Step 3: Cross multiply
    12,706.56x = 19,064.64 × 5,316
  4. Step 4: Simplify right side
    12,706.56x = 101,347,626.24
  5. Step 5: Solve for x
    x = 101,347,626.24/12,706.56
  6. Step 6: Final answer
    x = 7,976.01

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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.