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Finding the Fourth Proportional to 9,366.63, 12,931.25 and 6,499.50

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Solution

The fourth proportional to 9,366.63, 12,931.25 and 6,499.50 is: 8,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.63 : 12,931.25 = 6,499.50 : x
  2. Step 2: Convert to fraction form
    9,366.63/12,931.25 = 6,499.50/x
  3. Step 3: Cross multiply
    9,366.63x = 12,931.25 × 6,499.50
  4. Step 4: Simplify right side
    9,366.63x = 84,046,626.88
  5. Step 5: Solve for x
    x = 84,046,626.88/9,366.63
  6. Step 6: Final answer
    x = 8,972.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.