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Finding the Fourth Proportional to 8,911.64, 12,303.64 and 5,726.22

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Solution

The fourth proportional to 8,911.64, 12,303.64 and 5,726.22 is: 7,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.64 : 12,303.64 = 5,726.22 : x
  2. Step 2: Convert to fraction form
    8,911.64/12,303.64 = 5,726.22/x
  3. Step 3: Cross multiply
    8,911.64x = 12,303.64 × 5,726.22
  4. Step 4: Simplify right side
    8,911.64x = 70,453,349.44
  5. Step 5: Solve for x
    x = 70,453,349.44/8,911.64
  6. Step 6: Final answer
    x = 7,905.77

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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.