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Finding the Fourth Proportional to 9,156.64, 12,636.18 and 4,964.86

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Solution

The fourth proportional to 9,156.64, 12,636.18 and 4,964.86 is: 6,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.64 : 12,636.18 = 4,964.86 : x
  2. Step 2: Convert to fraction form
    9,156.64/12,636.18 = 4,964.86/x
  3. Step 3: Cross multiply
    9,156.64x = 12,636.18 × 4,964.86
  4. Step 4: Simplify right side
    9,156.64x = 62,736,864.63
  5. Step 5: Solve for x
    x = 62,736,864.63/9,156.64
  6. Step 6: Final answer
    x = 6,851.52

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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.