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Finding the Fourth Proportional to 30,823, 42,541.50 and 17,575

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Solution

The fourth proportional to 30,823, 42,541.50 and 17,575 is: 24,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823 : 42,541.50 = 17,575 : x
  2. Step 2: Convert to fraction form
    30,823/42,541.50 = 17,575/x
  3. Step 3: Cross multiply
    30,823x = 42,541.50 × 17,575
  4. Step 4: Simplify right side
    30,823x = 747,666,862.50
  5. Step 5: Solve for x
    x = 747,666,862.50/30,823
  6. Step 6: Final answer
    x = 24,256.78

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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.