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Finding the Fourth Proportional to 30,772, 42,465.36 and 17,526.56

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Solution

The fourth proportional to 30,772, 42,465.36 and 17,526.56 is: 24,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772 : 42,465.36 = 17,526.56 : x
  2. Step 2: Convert to fraction form
    30,772/42,465.36 = 17,526.56/x
  3. Step 3: Cross multiply
    30,772x = 42,465.36 × 17,526.56
  4. Step 4: Simplify right side
    30,772x = 744,271,679.96
  5. Step 5: Solve for x
    x = 744,271,679.96/30,772
  6. Step 6: Final answer
    x = 24,186.65

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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.