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Finding the Fourth Proportional to 21,645, 29,870.16 and 11,709

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Solution

The fourth proportional to 21,645, 29,870.16 and 11,709 is: 16,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 29,870.16 = 11,709 : x
  2. Step 2: Convert to fraction form
    21,645/29,870.16 = 11,709/x
  3. Step 3: Cross multiply
    21,645x = 29,870.16 × 11,709
  4. Step 4: Simplify right side
    21,645x = 349,749,703.44
  5. Step 5: Solve for x
    x = 349,749,703.44/21,645
  6. Step 6: Final answer
    x = 16,158.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.