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Finding the Fourth Proportional to 30,856.94, 42,582.51 and 16,709.90

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Solution

The fourth proportional to 30,856.94, 42,582.51 and 16,709.90 is: 23,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.94 : 42,582.51 = 16,709.90 : x
  2. Step 2: Convert to fraction form
    30,856.94/42,582.51 = 16,709.90/x
  3. Step 3: Cross multiply
    30,856.94x = 42,582.51 × 16,709.90
  4. Step 4: Simplify right side
    30,856.94x = 711,549,483.85
  5. Step 5: Solve for x
    x = 711,549,483.85/30,856.94
  6. Step 6: Final answer
    x = 23,059.63

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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.