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Finding the Fourth Proportional to 7,643.88, 10,549.44 and 4,500

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Solution

The fourth proportional to 7,643.88, 10,549.44 and 4,500 is: 6,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.88 : 10,549.44 = 4,500 : x
  2. Step 2: Convert to fraction form
    7,643.88/10,549.44 = 4,500/x
  3. Step 3: Cross multiply
    7,643.88x = 10,549.44 × 4,500
  4. Step 4: Simplify right side
    7,643.88x = 47,472,480
  5. Step 5: Solve for x
    x = 47,472,480/7,643.88
  6. Step 6: Final answer
    x = 6,210.52

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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.