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Finding the Fourth Proportional to 30,645.77, 45,929.16 and 12,856.41

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Solution

The fourth proportional to 30,645.77, 45,929.16 and 12,856.41 is: 19,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.77 : 45,929.16 = 12,856.41 : x
  2. Step 2: Convert to fraction form
    30,645.77/45,929.16 = 12,856.41/x
  3. Step 3: Cross multiply
    30,645.77x = 45,929.16 × 12,856.41
  4. Step 4: Simplify right side
    30,645.77x = 590,484,111.92
  5. Step 5: Solve for x
    x = 590,484,111.92/30,645.77
  6. Step 6: Final answer
    x = 19,268.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.