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Finding the Fourth Proportional to 10,486.56, 14,487.36 and 7,829.37

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Solution

The fourth proportional to 10,486.56, 14,487.36 and 7,829.37 is: 10,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.56 : 14,487.36 = 7,829.37 : x
  2. Step 2: Convert to fraction form
    10,486.56/14,487.36 = 7,829.37/x
  3. Step 3: Cross multiply
    10,486.56x = 14,487.36 × 7,829.37
  4. Step 4: Simplify right side
    10,486.56x = 113,426,901.76
  5. Step 5: Solve for x
    x = 113,426,901.76/10,486.56
  6. Step 6: Final answer
    x = 10,816.41

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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.