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Finding the Fourth Proportional to 15,782.78, 21,783.06 and 9,409.79

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Solution

The fourth proportional to 15,782.78, 21,783.06 and 9,409.79 is: 12,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.78 : 21,783.06 = 9,409.79 : x
  2. Step 2: Convert to fraction form
    15,782.78/21,783.06 = 9,409.79/x
  3. Step 3: Cross multiply
    15,782.78x = 21,783.06 × 9,409.79
  4. Step 4: Simplify right side
    15,782.78x = 204,973,864.19
  5. Step 5: Solve for x
    x = 204,973,864.19/15,782.78
  6. Step 6: Final answer
    x = 12,987.18

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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.