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Finding the Fourth Proportional to 9,689.69, 14,543.62 and 4,762.87

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Solution

The fourth proportional to 9,689.69, 14,543.62 and 4,762.87 is: 7,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.69 : 14,543.62 = 4,762.87 : x
  2. Step 2: Convert to fraction form
    9,689.69/14,543.62 = 4,762.87/x
  3. Step 3: Cross multiply
    9,689.69x = 14,543.62 × 4,762.87
  4. Step 4: Simplify right side
    9,689.69x = 69,269,323.12
  5. Step 5: Solve for x
    x = 69,269,323.12/9,689.69
  6. Step 6: Final answer
    x = 7,148.76

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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.