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Finding the Fourth Proportional to 10,388, 14,336.76 and 6,858.56

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Solution

The fourth proportional to 10,388, 14,336.76 and 6,858.56 is: 9,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 14,336.76 = 6,858.56 : x
  2. Step 2: Convert to fraction form
    10,388/14,336.76 = 6,858.56/x
  3. Step 3: Cross multiply
    10,388x = 14,336.76 × 6,858.56
  4. Step 4: Simplify right side
    10,388x = 98,329,528.67
  5. Step 5: Solve for x
    x = 98,329,528.67/10,388
  6. Step 6: Final answer
    x = 9,465.68

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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.