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Finding the Fourth Proportional to 38,688, 53,389.44 and 21,024

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Solution

The fourth proportional to 38,688, 53,389.44 and 21,024 is: 29,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 53,389.44 = 21,024 : x
  2. Step 2: Convert to fraction form
    38,688/53,389.44 = 21,024/x
  3. Step 3: Cross multiply
    38,688x = 53,389.44 × 21,024
  4. Step 4: Simplify right side
    38,688x = 1,122,459,586.56
  5. Step 5: Solve for x
    x = 1,122,459,586.56/38,688
  6. Step 6: Final answer
    x = 29,013.12

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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.