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Finding the Fourth Proportional to 12,884.51, 17,782.05 and 7,220.18

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Solution

The fourth proportional to 12,884.51, 17,782.05 and 7,220.18 is: 9,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.51 : 17,782.05 = 7,220.18 : x
  2. Step 2: Convert to fraction form
    12,884.51/17,782.05 = 7,220.18/x
  3. Step 3: Cross multiply
    12,884.51x = 17,782.05 × 7,220.18
  4. Step 4: Simplify right side
    12,884.51x = 128,389,601.77
  5. Step 5: Solve for x
    x = 128,389,601.77/12,884.51
  6. Step 6: Final answer
    x = 9,964.65

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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.