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Finding the Fourth Proportional to 12,980.76, 17,922 and 9,991.32

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Solution

The fourth proportional to 12,980.76, 17,922 and 9,991.32 is: 13,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.76 : 17,922 = 9,991.32 : x
  2. Step 2: Convert to fraction form
    12,980.76/17,922 = 9,991.32/x
  3. Step 3: Cross multiply
    12,980.76x = 17,922 × 9,991.32
  4. Step 4: Simplify right side
    12,980.76x = 179,064,437.04
  5. Step 5: Solve for x
    x = 179,064,437.04/12,980.76
  6. Step 6: Final answer
    x = 13,794.60

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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.