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Finding the Fourth Proportional to 9,164.58, 12,650.49 and 5,440.74

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Solution

The fourth proportional to 9,164.58, 12,650.49 and 5,440.74 is: 7,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.58 : 12,650.49 = 5,440.74 : x
  2. Step 2: Convert to fraction form
    9,164.58/12,650.49 = 5,440.74/x
  3. Step 3: Cross multiply
    9,164.58x = 12,650.49 × 5,440.74
  4. Step 4: Simplify right side
    9,164.58x = 68,828,026.96
  5. Step 5: Solve for x
    x = 68,828,026.96/9,164.58
  6. Step 6: Final answer
    x = 7,510.22

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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.