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Finding the Fourth Proportional to 9,246.72, 12,762 and 8,684.40

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Solution

The fourth proportional to 9,246.72, 12,762 and 8,684.40 is: 11,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.72 : 12,762 = 8,684.40 : x
  2. Step 2: Convert to fraction form
    9,246.72/12,762 = 8,684.40/x
  3. Step 3: Cross multiply
    9,246.72x = 12,762 × 8,684.40
  4. Step 4: Simplify right side
    9,246.72x = 110,830,312.80
  5. Step 5: Solve for x
    x = 110,830,312.80/9,246.72
  6. Step 6: Final answer
    x = 11,985.91

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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.