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Finding the Fourth Proportional to 7,278.60, 10,864.41 and 7,035.24

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Solution

The fourth proportional to 7,278.60, 10,864.41 and 7,035.24 is: 10,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.60 : 10,864.41 = 7,035.24 : x
  2. Step 2: Convert to fraction form
    7,278.60/10,864.41 = 7,035.24/x
  3. Step 3: Cross multiply
    7,278.60x = 10,864.41 × 7,035.24
  4. Step 4: Simplify right side
    7,278.60x = 76,433,731.81
  5. Step 5: Solve for x
    x = 76,433,731.81/7,278.60
  6. Step 6: Final answer
    x = 10,501.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.