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Finding the Fourth Proportional to 12,788.76, 17,649.68 and 7,483.24

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Solution

The fourth proportional to 12,788.76, 17,649.68 and 7,483.24 is: 10,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.76 : 17,649.68 = 7,483.24 : x
  2. Step 2: Convert to fraction form
    12,788.76/17,649.68 = 7,483.24/x
  3. Step 3: Cross multiply
    12,788.76x = 17,649.68 × 7,483.24
  4. Step 4: Simplify right side
    12,788.76x = 132,076,791.36
  5. Step 5: Solve for x
    x = 132,076,791.36/12,788.76
  6. Step 6: Final answer
    x = 10,327.57

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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.