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Finding the Fourth Proportional to 10,260, 14,159.88 and 6,283.77

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Solution

The fourth proportional to 10,260, 14,159.88 and 6,283.77 is: 8,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260 : 14,159.88 = 6,283.77 : x
  2. Step 2: Convert to fraction form
    10,260/14,159.88 = 6,283.77/x
  3. Step 3: Cross multiply
    10,260x = 14,159.88 × 6,283.77
  4. Step 4: Simplify right side
    10,260x = 88,977,429.15
  5. Step 5: Solve for x
    x = 88,977,429.15/10,260
  6. Step 6: Final answer
    x = 8,672.26

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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.