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Finding the Fourth Proportional to 11,581, 15,981.24 and 6,544.60

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Solution

The fourth proportional to 11,581, 15,981.24 and 6,544.60 is: 9,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581 : 15,981.24 = 6,544.60 : x
  2. Step 2: Convert to fraction form
    11,581/15,981.24 = 6,544.60/x
  3. Step 3: Cross multiply
    11,581x = 15,981.24 × 6,544.60
  4. Step 4: Simplify right side
    11,581x = 104,590,823.30
  5. Step 5: Solve for x
    x = 104,590,823.30/11,581
  6. Step 6: Final answer
    x = 9,031.24

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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.