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Finding the Fourth Proportional to 11,486.76, 15,851.74 and 6,518.76

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Solution

The fourth proportional to 11,486.76, 15,851.74 and 6,518.76 is: 8,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.76 : 15,851.74 = 6,518.76 : x
  2. Step 2: Convert to fraction form
    11,486.76/15,851.74 = 6,518.76/x
  3. Step 3: Cross multiply
    11,486.76x = 15,851.74 × 6,518.76
  4. Step 4: Simplify right side
    11,486.76x = 103,333,688.64
  5. Step 5: Solve for x
    x = 103,333,688.64/11,486.76
  6. Step 6: Final answer
    x = 8,995.90

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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.