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Finding the Fourth Proportional to 12,980.95, 17,913.70 and 7,012.62

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Solution

The fourth proportional to 12,980.95, 17,913.70 and 7,012.62 is: 9,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.95 : 17,913.70 = 7,012.62 : x
  2. Step 2: Convert to fraction form
    12,980.95/17,913.70 = 7,012.62/x
  3. Step 3: Cross multiply
    12,980.95x = 17,913.70 × 7,012.62
  4. Step 4: Simplify right side
    12,980.95x = 125,621,953.36
  5. Step 5: Solve for x
    x = 125,621,953.36/12,980.95
  6. Step 6: Final answer
    x = 9,677.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.