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Finding the Fourth Proportional to 10,405, 14,354.42 and 6,818.76

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Solution

The fourth proportional to 10,405, 14,354.42 and 6,818.76 is: 9,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405 : 14,354.42 = 6,818.76 : x
  2. Step 2: Convert to fraction form
    10,405/14,354.42 = 6,818.76/x
  3. Step 3: Cross multiply
    10,405x = 14,354.42 × 6,818.76
  4. Step 4: Simplify right side
    10,405x = 97,879,344.92
  5. Step 5: Solve for x
    x = 97,879,344.92/10,405
  6. Step 6: Final answer
    x = 9,406.95

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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.