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Finding the Fourth Proportional to 6,302.76, 8,685 and 4,877.82

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Solution

The fourth proportional to 6,302.76, 8,685 and 4,877.82 is: 6,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.76 : 8,685 = 4,877.82 : x
  2. Step 2: Convert to fraction form
    6,302.76/8,685 = 4,877.82/x
  3. Step 3: Cross multiply
    6,302.76x = 8,685 × 4,877.82
  4. Step 4: Simplify right side
    6,302.76x = 42,363,866.70
  5. Step 5: Solve for x
    x = 42,363,866.70/6,302.76
  6. Step 6: Final answer
    x = 6,721.48

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1.5x scale

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.