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Finding the Fourth Proportional to 9,044.80, 13,564 and 4,300.40

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Solution

The fourth proportional to 9,044.80, 13,564 and 4,300.40 is: 6,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.80 : 13,564 = 4,300.40 : x
  2. Step 2: Convert to fraction form
    9,044.80/13,564 = 4,300.40/x
  3. Step 3: Cross multiply
    9,044.80x = 13,564 × 4,300.40
  4. Step 4: Simplify right side
    9,044.80x = 58,330,625.60
  5. Step 5: Solve for x
    x = 58,330,625.60/9,044.80
  6. Step 6: Final answer
    x = 6,449.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.