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Finding the Fourth Proportional to 12,649.64, 17,456.51 and 7,344.45

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Solution

The fourth proportional to 12,649.64, 17,456.51 and 7,344.45 is: 10,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.64 : 17,456.51 = 7,344.45 : x
  2. Step 2: Convert to fraction form
    12,649.64/17,456.51 = 7,344.45/x
  3. Step 3: Cross multiply
    12,649.64x = 17,456.51 × 7,344.45
  4. Step 4: Simplify right side
    12,649.64x = 128,208,483.23
  5. Step 5: Solve for x
    x = 128,208,483.23/12,649.64
  6. Step 6: Final answer
    x = 10,135.35

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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.