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Finding the Fourth Proportional to 13,965, 19,271.76 and 7,677.84

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Solution

The fourth proportional to 13,965, 19,271.76 and 7,677.84 is: 10,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 19,271.76 = 7,677.84 : x
  2. Step 2: Convert to fraction form
    13,965/19,271.76 = 7,677.84/x
  3. Step 3: Cross multiply
    13,965x = 19,271.76 × 7,677.84
  4. Step 4: Simplify right side
    13,965x = 147,965,489.80
  5. Step 5: Solve for x
    x = 147,965,489.80/13,965
  6. Step 6: Final answer
    x = 10,595.45

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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.