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Finding the Fourth Proportional to 12,536.98, 18,805.48 and 5,140.10

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Solution

The fourth proportional to 12,536.98, 18,805.48 and 5,140.10 is: 7,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.98 : 18,805.48 = 5,140.10 : x
  2. Step 2: Convert to fraction form
    12,536.98/18,805.48 = 5,140.10/x
  3. Step 3: Cross multiply
    12,536.98x = 18,805.48 × 5,140.10
  4. Step 4: Simplify right side
    12,536.98x = 96,662,081.91
  5. Step 5: Solve for x
    x = 96,662,081.91/12,536.98
  6. Step 6: Final answer
    x = 7,710.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.