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Finding the Fourth Proportional to 13,122, 19,686.84 and 3,888.24

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Solution

The fourth proportional to 13,122, 19,686.84 and 3,888.24 is: 5,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 19,686.84 = 3,888.24 : x
  2. Step 2: Convert to fraction form
    13,122/19,686.84 = 3,888.24/x
  3. Step 3: Cross multiply
    13,122x = 19,686.84 × 3,888.24
  4. Step 4: Simplify right side
    13,122x = 76,547,158.76
  5. Step 5: Solve for x
    x = 76,547,158.76/13,122
  6. Step 6: Final answer
    x = 5,833.50

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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.