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Finding the Fourth Proportional to 7,875.80, 10,874.94 and 5,363.18

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Solution

The fourth proportional to 7,875.80, 10,874.94 and 5,363.18 is: 7,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.80 : 10,874.94 = 5,363.18 : x
  2. Step 2: Convert to fraction form
    7,875.80/10,874.94 = 5,363.18/x
  3. Step 3: Cross multiply
    7,875.80x = 10,874.94 × 5,363.18
  4. Step 4: Simplify right side
    7,875.80x = 58,324,260.71
  5. Step 5: Solve for x
    x = 58,324,260.71/7,875.80
  6. Step 6: Final answer
    x = 7,405.50

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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.