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Finding the Fourth Proportional to 11,705, 16,160.64 and 7,235.32

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Solution

The fourth proportional to 11,705, 16,160.64 and 7,235.32 is: 9,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705 : 16,160.64 = 7,235.32 : x
  2. Step 2: Convert to fraction form
    11,705/16,160.64 = 7,235.32/x
  3. Step 3: Cross multiply
    11,705x = 16,160.64 × 7,235.32
  4. Step 4: Simplify right side
    11,705x = 116,927,401.80
  5. Step 5: Solve for x
    x = 116,927,401.80/11,705
  6. Step 6: Final answer
    x = 9,989.53

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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.