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Finding the Fourth Proportional to 9,686.64, 14,508.18 and 8,420.94

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Solution

The fourth proportional to 9,686.64, 14,508.18 and 8,420.94 is: 12,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.64 : 14,508.18 = 8,420.94 : x
  2. Step 2: Convert to fraction form
    9,686.64/14,508.18 = 8,420.94/x
  3. Step 3: Cross multiply
    9,686.64x = 14,508.18 × 8,420.94
  4. Step 4: Simplify right side
    9,686.64x = 122,172,513.29
  5. Step 5: Solve for x
    x = 122,172,513.29/9,686.64
  6. Step 6: Final answer
    x = 12,612.48

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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.