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Finding the Fourth Proportional to 13,307.76, 19,964.52 and 6,647.88

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Solution

The fourth proportional to 13,307.76, 19,964.52 and 6,647.88 is: 9,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.76 : 19,964.52 = 6,647.88 : x
  2. Step 2: Convert to fraction form
    13,307.76/19,964.52 = 6,647.88/x
  3. Step 3: Cross multiply
    13,307.76x = 19,964.52 × 6,647.88
  4. Step 4: Simplify right side
    13,307.76x = 132,721,733.22
  5. Step 5: Solve for x
    x = 132,721,733.22/13,307.76
  6. Step 6: Final answer
    x = 9,973.26

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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.