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Finding the Fourth Proportional to 7,154.56, 10,730.64 and 1,959.28

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Solution

The fourth proportional to 7,154.56, 10,730.64 and 1,959.28 is: 2,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.56 : 10,730.64 = 1,959.28 : x
  2. Step 2: Convert to fraction form
    7,154.56/10,730.64 = 1,959.28/x
  3. Step 3: Cross multiply
    7,154.56x = 10,730.64 × 1,959.28
  4. Step 4: Simplify right side
    7,154.56x = 21,024,328.34
  5. Step 5: Solve for x
    x = 21,024,328.34/7,154.56
  6. Step 6: Final answer
    x = 2,938.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.