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Finding the Fourth Proportional to 11,503.08, 15,878.16 and 7,970.94

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Solution

The fourth proportional to 11,503.08, 15,878.16 and 7,970.94 is: 11,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.08 : 15,878.16 = 7,970.94 : x
  2. Step 2: Convert to fraction form
    11,503.08/15,878.16 = 7,970.94/x
  3. Step 3: Cross multiply
    11,503.08x = 15,878.16 × 7,970.94
  4. Step 4: Simplify right side
    11,503.08x = 126,563,860.67
  5. Step 5: Solve for x
    x = 126,563,860.67/11,503.08
  6. Step 6: Final answer
    x = 11,002.61

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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.