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Finding the Fourth Proportional to 21,970.40, 32,955.60 and 9,682.40

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Solution

The fourth proportional to 21,970.40, 32,955.60 and 9,682.40 is: 14,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.40 : 32,955.60 = 9,682.40 : x
  2. Step 2: Convert to fraction form
    21,970.40/32,955.60 = 9,682.40/x
  3. Step 3: Cross multiply
    21,970.40x = 32,955.60 × 9,682.40
  4. Step 4: Simplify right side
    21,970.40x = 319,089,301.44
  5. Step 5: Solve for x
    x = 319,089,301.44/21,970.40
  6. Step 6: Final answer
    x = 14,523.60

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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.