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Finding the Fourth Proportional to 7,875.88, 10,869.54 and 4,519

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Solution

The fourth proportional to 7,875.88, 10,869.54 and 4,519 is: 6,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.88 : 10,869.54 = 4,519 : x
  2. Step 2: Convert to fraction form
    7,875.88/10,869.54 = 4,519/x
  3. Step 3: Cross multiply
    7,875.88x = 10,869.54 × 4,519
  4. Step 4: Simplify right side
    7,875.88x = 49,119,451.26
  5. Step 5: Solve for x
    x = 49,119,451.26/7,875.88
  6. Step 6: Final answer
    x = 6,236.69

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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.