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Finding the Fourth Proportional to 14,014, 21,021 and 5,698.54

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Solution

The fourth proportional to 14,014, 21,021 and 5,698.54 is: 8,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014 : 21,021 = 5,698.54 : x
  2. Step 2: Convert to fraction form
    14,014/21,021 = 5,698.54/x
  3. Step 3: Cross multiply
    14,014x = 21,021 × 5,698.54
  4. Step 4: Simplify right side
    14,014x = 119,789,009.34
  5. Step 5: Solve for x
    x = 119,789,009.34/14,014
  6. Step 6: Final answer
    x = 8,547.81

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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.