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Finding the Fourth Proportional to 12,980.40, 17,901.92 and 10,973.60

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Solution

The fourth proportional to 12,980.40, 17,901.92 and 10,973.60 is: 15,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.40 : 17,901.92 = 10,973.60 : x
  2. Step 2: Convert to fraction form
    12,980.40/17,901.92 = 10,973.60/x
  3. Step 3: Cross multiply
    12,980.40x = 17,901.92 × 10,973.60
  4. Step 4: Simplify right side
    12,980.40x = 196,448,509.31
  5. Step 5: Solve for x
    x = 196,448,509.31/12,980.40
  6. Step 6: Final answer
    x = 15,134.24

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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.