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Finding the Fourth Proportional to 11,461.10, 15,817.68 and 6,985.49

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Solution

The fourth proportional to 11,461.10, 15,817.68 and 6,985.49 is: 9,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.10 : 15,817.68 = 6,985.49 : x
  2. Step 2: Convert to fraction form
    11,461.10/15,817.68 = 6,985.49/x
  3. Step 3: Cross multiply
    11,461.10x = 15,817.68 × 6,985.49
  4. Step 4: Simplify right side
    11,461.10x = 110,494,166.37
  5. Step 5: Solve for x
    x = 110,494,166.37/11,461.10
  6. Step 6: Final answer
    x = 9,640.80

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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.