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Finding the Fourth Proportional to 9,312.65, 12,851.27 and 5,063.80

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Solution

The fourth proportional to 9,312.65, 12,851.27 and 5,063.80 is: 6,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.65 : 12,851.27 = 5,063.80 : x
  2. Step 2: Convert to fraction form
    9,312.65/12,851.27 = 5,063.80/x
  3. Step 3: Cross multiply
    9,312.65x = 12,851.27 × 5,063.80
  4. Step 4: Simplify right side
    9,312.65x = 65,076,203.58
  5. Step 5: Solve for x
    x = 65,076,203.58/9,312.65
  6. Step 6: Final answer
    x = 6,987.93

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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.