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Finding the Fourth Proportional to 30,835, 42,552.08 and 17,408.87

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Solution

The fourth proportional to 30,835, 42,552.08 and 17,408.87 is: 24,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835 : 42,552.08 = 17,408.87 : x
  2. Step 2: Convert to fraction form
    30,835/42,552.08 = 17,408.87/x
  3. Step 3: Cross multiply
    30,835x = 42,552.08 × 17,408.87
  4. Step 4: Simplify right side
    30,835x = 740,783,628.95
  5. Step 5: Solve for x
    x = 740,783,628.95/30,835
  6. Step 6: Final answer
    x = 24,024.12

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1.5x scale

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.