Home / 10,705.12-14,742.16-8,709.28

Finding the Fourth Proportional to 10,705.12, 14,742.16 and 8,709.28

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Solution

The fourth proportional to 10,705.12, 14,742.16 and 8,709.28 is: 11,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.12 : 14,742.16 = 8,709.28 : x
  2. Step 2: Convert to fraction form
    10,705.12/14,742.16 = 8,709.28/x
  3. Step 3: Cross multiply
    10,705.12x = 14,742.16 × 8,709.28
  4. Step 4: Simplify right side
    10,705.12x = 128,393,599.24
  5. Step 5: Solve for x
    x = 128,393,599.24/10,705.12
  6. Step 6: Final answer
    x = 11,993.66

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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.