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Finding the Fourth Proportional to 14,304, 21,458.76 and 6,913.56

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Solution

The fourth proportional to 14,304, 21,458.76 and 6,913.56 is: 10,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 21,458.76 = 6,913.56 : x
  2. Step 2: Convert to fraction form
    14,304/21,458.76 = 6,913.56/x
  3. Step 3: Cross multiply
    14,304x = 21,458.76 × 6,913.56
  4. Step 4: Simplify right side
    14,304x = 148,356,424.79
  5. Step 5: Solve for x
    x = 148,356,424.79/14,304
  6. Step 6: Final answer
    x = 10,371.67

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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.