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Finding the Fourth Proportional to 8,643.88, 11,931.20 and 5,415.45

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Solution

The fourth proportional to 8,643.88, 11,931.20 and 5,415.45 is: 7,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.88 : 11,931.20 = 5,415.45 : x
  2. Step 2: Convert to fraction form
    8,643.88/11,931.20 = 5,415.45/x
  3. Step 3: Cross multiply
    8,643.88x = 11,931.20 × 5,415.45
  4. Step 4: Simplify right side
    8,643.88x = 64,612,817.04
  5. Step 5: Solve for x
    x = 64,612,817.04/8,643.88
  6. Step 6: Final answer
    x = 7,474.98

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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.