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Finding the Fourth Proportional to 7,278.46, 10,111.64 and 7,210.01

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Solution

The fourth proportional to 7,278.46, 10,111.64 and 7,210.01 is: 10,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.46 : 10,111.64 = 7,210.01 : x
  2. Step 2: Convert to fraction form
    7,278.46/10,111.64 = 7,210.01/x
  3. Step 3: Cross multiply
    7,278.46x = 10,111.64 × 7,210.01
  4. Step 4: Simplify right side
    7,278.46x = 72,905,014.75
  5. Step 5: Solve for x
    x = 72,905,014.75/7,278.46
  6. Step 6: Final answer
    x = 10,016.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.