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Finding the Fourth Proportional to 38,445.36, 53,056.44 and 21,678

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Solution

The fourth proportional to 38,445.36, 53,056.44 and 21,678 is: 29,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,445.36 : 53,056.44 = 21,678 : x
  2. Step 2: Convert to fraction form
    38,445.36/53,056.44 = 21,678/x
  3. Step 3: Cross multiply
    38,445.36x = 53,056.44 × 21,678
  4. Step 4: Simplify right side
    38,445.36x = 1,150,157,506.32
  5. Step 5: Solve for x
    x = 1,150,157,506.32/38,445.36
  6. Step 6: Final answer
    x = 29,916.68

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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.