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Finding the Fourth Proportional to 14,368, 21,517.80 and 7,330.72

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Solution

The fourth proportional to 14,368, 21,517.80 and 7,330.72 is: 10,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368 : 21,517.80 = 7,330.72 : x
  2. Step 2: Convert to fraction form
    14,368/21,517.80 = 7,330.72/x
  3. Step 3: Cross multiply
    14,368x = 21,517.80 × 7,330.72
  4. Step 4: Simplify right side
    14,368x = 157,740,966.82
  5. Step 5: Solve for x
    x = 157,740,966.82/14,368
  6. Step 6: Final answer
    x = 10,978.63

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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.