Home / 10,407.84-14,364.12-6,216

Finding the Fourth Proportional to 10,407.84, 14,364.12 and 6,216

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Solution

The fourth proportional to 10,407.84, 14,364.12 and 6,216 is: 8,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.84 : 14,364.12 = 6,216 : x
  2. Step 2: Convert to fraction form
    10,407.84/14,364.12 = 6,216/x
  3. Step 3: Cross multiply
    10,407.84x = 14,364.12 × 6,216
  4. Step 4: Simplify right side
    10,407.84x = 89,287,369.92
  5. Step 5: Solve for x
    x = 89,287,369.92/10,407.84
  6. Step 6: Final answer
    x = 8,578.86

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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.