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Finding the Fourth Proportional to 12,975.78, 19,461.81 and 7,411.08

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Solution

The fourth proportional to 12,975.78, 19,461.81 and 7,411.08 is: 11,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.78 : 19,461.81 = 7,411.08 : x
  2. Step 2: Convert to fraction form
    12,975.78/19,461.81 = 7,411.08/x
  3. Step 3: Cross multiply
    12,975.78x = 19,461.81 × 7,411.08
  4. Step 4: Simplify right side
    12,975.78x = 144,233,030.85
  5. Step 5: Solve for x
    x = 144,233,030.85/12,975.78
  6. Step 6: Final answer
    x = 11,115.56

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1.5x scale

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.