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Finding the Fourth Proportional to 4,649.72, 6,407.16 and 4,321.64

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Solution

The fourth proportional to 4,649.72, 6,407.16 and 4,321.64 is: 5,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.72 : 6,407.16 = 4,321.64 : x
  2. Step 2: Convert to fraction form
    4,649.72/6,407.16 = 4,321.64/x
  3. Step 3: Cross multiply
    4,649.72x = 6,407.16 × 4,321.64
  4. Step 4: Simplify right side
    4,649.72x = 27,689,438.94
  5. Step 5: Solve for x
    x = 27,689,438.94/4,649.72
  6. Step 6: Final answer
    x = 5,955.08

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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.