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Finding the Fourth Proportional to 9,143.69, 13,715.60 and 2,570

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Solution

The fourth proportional to 9,143.69, 13,715.60 and 2,570 is: 3,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.69 : 13,715.60 = 2,570 : x
  2. Step 2: Convert to fraction form
    9,143.69/13,715.60 = 2,570/x
  3. Step 3: Cross multiply
    9,143.69x = 13,715.60 × 2,570
  4. Step 4: Simplify right side
    9,143.69x = 35,249,079.15
  5. Step 5: Solve for x
    x = 35,249,079.15/9,143.69
  6. Step 6: Final answer
    x = 3,855.02

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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.