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Finding the Fourth Proportional to 14,148, 21,072.56 and 13,407.84

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Solution

The fourth proportional to 14,148, 21,072.56 and 13,407.84 is: 19,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 21,072.56 = 13,407.84 : x
  2. Step 2: Convert to fraction form
    14,148/21,072.56 = 13,407.84/x
  3. Step 3: Cross multiply
    14,148x = 21,072.56 × 13,407.84
  4. Step 4: Simplify right side
    14,148x = 282,537,512.87
  5. Step 5: Solve for x
    x = 282,537,512.87/14,148
  6. Step 6: Final answer
    x = 19,970.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.