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Finding the Fourth Proportional to 21,556.31, 32,323.50 and 9,859.50

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Solution

The fourth proportional to 21,556.31, 32,323.50 and 9,859.50 is: 14,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,556.31 : 32,323.50 = 9,859.50 : x
  2. Step 2: Convert to fraction form
    21,556.31/32,323.50 = 9,859.50/x
  3. Step 3: Cross multiply
    21,556.31x = 32,323.50 × 9,859.50
  4. Step 4: Simplify right side
    21,556.31x = 318,693,548.25
  5. Step 5: Solve for x
    x = 318,693,548.25/21,556.31
  6. Step 6: Final answer
    x = 14,784.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.