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Finding the Fourth Proportional to 5,009.50, 6,913.20 and 2,913.76

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Solution

The fourth proportional to 5,009.50, 6,913.20 and 2,913.76 is: 4,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.50 : 6,913.20 = 2,913.76 : x
  2. Step 2: Convert to fraction form
    5,009.50/6,913.20 = 2,913.76/x
  3. Step 3: Cross multiply
    5,009.50x = 6,913.20 × 2,913.76
  4. Step 4: Simplify right side
    5,009.50x = 20,143,405.63
  5. Step 5: Solve for x
    x = 20,143,405.63/5,009.50
  6. Step 6: Final answer
    x = 4,021.04

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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.