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Finding the Fourth Proportional to 29,484, 40,688.16 and 16,236

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Solution

The fourth proportional to 29,484, 40,688.16 and 16,236 is: 22,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 40,688.16 = 16,236 : x
  2. Step 2: Convert to fraction form
    29,484/40,688.16 = 16,236/x
  3. Step 3: Cross multiply
    29,484x = 40,688.16 × 16,236
  4. Step 4: Simplify right side
    29,484x = 660,612,965.76
  5. Step 5: Solve for x
    x = 660,612,965.76/29,484
  6. Step 6: Final answer
    x = 22,405.81

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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.