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Finding the Fourth Proportional to 10,775.70, 14,880.24 and 8,118.50

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Solution

The fourth proportional to 10,775.70, 14,880.24 and 8,118.50 is: 11,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.70 : 14,880.24 = 8,118.50 : x
  2. Step 2: Convert to fraction form
    10,775.70/14,880.24 = 8,118.50/x
  3. Step 3: Cross multiply
    10,775.70x = 14,880.24 × 8,118.50
  4. Step 4: Simplify right side
    10,775.70x = 120,805,154.04
  5. Step 5: Solve for x
    x = 120,805,154.04/10,775.70
  6. Step 6: Final answer
    x = 11,210.89

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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.