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Finding the Fourth Proportional to 1,684.34, 2,509.77 and 1,500.32

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Solution

The fourth proportional to 1,684.34, 2,509.77 and 1,500.32 is: 2,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.34 : 2,509.77 = 1,500.32 : x
  2. Step 2: Convert to fraction form
    1,684.34/2,509.77 = 1,500.32/x
  3. Step 3: Cross multiply
    1,684.34x = 2,509.77 × 1,500.32
  4. Step 4: Simplify right side
    1,684.34x = 3,765,461.59
  5. Step 5: Solve for x
    x = 3,765,461.59/1,684.34
  6. Step 6: Final answer
    x = 2,235.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.