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Finding the Fourth Proportional to 21,856.32, 32,784.42 and 9,368.24

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Solution

The fourth proportional to 21,856.32, 32,784.42 and 9,368.24 is: 14,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.32 : 32,784.42 = 9,368.24 : x
  2. Step 2: Convert to fraction form
    21,856.32/32,784.42 = 9,368.24/x
  3. Step 3: Cross multiply
    21,856.32x = 32,784.42 × 9,368.24
  4. Step 4: Simplify right side
    21,856.32x = 307,132,349.94
  5. Step 5: Solve for x
    x = 307,132,349.94/21,856.32
  6. Step 6: Final answer
    x = 14,052.34

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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.