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Finding the Fourth Proportional to 8,573.58, 12,854.70 and 5,643

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Solution

The fourth proportional to 8,573.58, 12,854.70 and 5,643 is: 8,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.58 : 12,854.70 = 5,643 : x
  2. Step 2: Convert to fraction form
    8,573.58/12,854.70 = 5,643/x
  3. Step 3: Cross multiply
    8,573.58x = 12,854.70 × 5,643
  4. Step 4: Simplify right side
    8,573.58x = 72,539,072.10
  5. Step 5: Solve for x
    x = 72,539,072.10/8,573.58
  6. Step 6: Final answer
    x = 8,460.77

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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.