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Finding the Fourth Proportional to 19,709.12, 29,564 and 6,561.28

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Solution

The fourth proportional to 19,709.12, 29,564 and 6,561.28 is: 9,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.12 : 29,564 = 6,561.28 : x
  2. Step 2: Convert to fraction form
    19,709.12/29,564 = 6,561.28/x
  3. Step 3: Cross multiply
    19,709.12x = 29,564 × 6,561.28
  4. Step 4: Simplify right side
    19,709.12x = 193,977,681.92
  5. Step 5: Solve for x
    x = 193,977,681.92/19,709.12
  6. Step 6: Final answer
    x = 9,842.03

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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.