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Finding the Fourth Proportional to 13,588, 18,782.84 and 11,336.76

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Solution

The fourth proportional to 13,588, 18,782.84 and 11,336.76 is: 15,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588 : 18,782.84 = 11,336.76 : x
  2. Step 2: Convert to fraction form
    13,588/18,782.84 = 11,336.76/x
  3. Step 3: Cross multiply
    13,588x = 18,782.84 × 11,336.76
  4. Step 4: Simplify right side
    13,588x = 212,936,549.20
  5. Step 5: Solve for x
    x = 212,936,549.20/13,588
  6. Step 6: Final answer
    x = 15,670.93

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Half scale
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Double scale
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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.