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Finding the Fourth Proportional to 7,405.76, 10,220.10 and 4,262.16

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Solution

The fourth proportional to 7,405.76, 10,220.10 and 4,262.16 is: 5,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.76 : 10,220.10 = 4,262.16 : x
  2. Step 2: Convert to fraction form
    7,405.76/10,220.10 = 4,262.16/x
  3. Step 3: Cross multiply
    7,405.76x = 10,220.10 × 4,262.16
  4. Step 4: Simplify right side
    7,405.76x = 43,559,701.42
  5. Step 5: Solve for x
    x = 43,559,701.42/7,405.76
  6. Step 6: Final answer
    x = 5,881.87

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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.