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Finding the Fourth Proportional to 11,563.52, 15,952 and 7,085.84

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Solution

The fourth proportional to 11,563.52, 15,952 and 7,085.84 is: 9,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.52 : 15,952 = 7,085.84 : x
  2. Step 2: Convert to fraction form
    11,563.52/15,952 = 7,085.84/x
  3. Step 3: Cross multiply
    11,563.52x = 15,952 × 7,085.84
  4. Step 4: Simplify right side
    11,563.52x = 113,033,319.68
  5. Step 5: Solve for x
    x = 113,033,319.68/11,563.52
  6. Step 6: Final answer
    x = 9,774.99

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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.