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Finding the Fourth Proportional to 30,856.56, 42,582.12 and 16,709.32

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Solution

The fourth proportional to 30,856.56, 42,582.12 and 16,709.32 is: 23,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.56 : 42,582.12 = 16,709.32 : x
  2. Step 2: Convert to fraction form
    30,856.56/42,582.12 = 16,709.32/x
  3. Step 3: Cross multiply
    30,856.56x = 42,582.12 × 16,709.32
  4. Step 4: Simplify right side
    30,856.56x = 711,518,269.36
  5. Step 5: Solve for x
    x = 711,518,269.36/30,856.56
  6. Step 6: Final answer
    x = 23,058.90

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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.