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Finding the Fourth Proportional to 8,509.63, 12,732.37 and 7,646.35

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Solution

The fourth proportional to 8,509.63, 12,732.37 and 7,646.35 is: 11,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.63 : 12,732.37 = 7,646.35 : x
  2. Step 2: Convert to fraction form
    8,509.63/12,732.37 = 7,646.35/x
  3. Step 3: Cross multiply
    8,509.63x = 12,732.37 × 7,646.35
  4. Step 4: Simplify right side
    8,509.63x = 97,356,157.35
  5. Step 5: Solve for x
    x = 97,356,157.35/8,509.63
  6. Step 6: Final answer
    x = 11,440.70

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1.5x scale

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.