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Finding the Fourth Proportional to 12,970.92, 17,874.90 and 9,428.52

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Solution

The fourth proportional to 12,970.92, 17,874.90 and 9,428.52 is: 12,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.92 : 17,874.90 = 9,428.52 : x
  2. Step 2: Convert to fraction form
    12,970.92/17,874.90 = 9,428.52/x
  3. Step 3: Cross multiply
    12,970.92x = 17,874.90 × 9,428.52
  4. Step 4: Simplify right side
    12,970.92x = 168,533,852.15
  5. Step 5: Solve for x
    x = 168,533,852.15/12,970.92
  6. Step 6: Final answer
    x = 12,993.21

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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.