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Finding the Fourth Proportional to 14,020, 21,030 and 7,864.48

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Solution

The fourth proportional to 14,020, 21,030 and 7,864.48 is: 11,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 21,030 = 7,864.48 : x
  2. Step 2: Convert to fraction form
    14,020/21,030 = 7,864.48/x
  3. Step 3: Cross multiply
    14,020x = 21,030 × 7,864.48
  4. Step 4: Simplify right side
    14,020x = 165,390,014.40
  5. Step 5: Solve for x
    x = 165,390,014.40/14,020
  6. Step 6: Final answer
    x = 11,796.72

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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.