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Finding the Fourth Proportional to 5,313, 7,969.86 and 1,615.52

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Solution

The fourth proportional to 5,313, 7,969.86 and 1,615.52 is: 2,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,969.86 = 1,615.52 : x
  2. Step 2: Convert to fraction form
    5,313/7,969.86 = 1,615.52/x
  3. Step 3: Cross multiply
    5,313x = 7,969.86 × 1,615.52
  4. Step 4: Simplify right side
    5,313x = 12,875,468.23
  5. Step 5: Solve for x
    x = 12,875,468.23/5,313
  6. Step 6: Final answer
    x = 2,423.39

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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.