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Finding the Fourth Proportional to 6,312, 8,710.62 and 3,518.04

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Solution

The fourth proportional to 6,312, 8,710.62 and 3,518.04 is: 4,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312 : 8,710.62 = 3,518.04 : x
  2. Step 2: Convert to fraction form
    6,312/8,710.62 = 3,518.04/x
  3. Step 3: Cross multiply
    6,312x = 8,710.62 × 3,518.04
  4. Step 4: Simplify right side
    6,312x = 30,644,309.58
  5. Step 5: Solve for x
    x = 30,644,309.58/6,312
  6. Step 6: Final answer
    x = 4,854.93

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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.