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Finding the Fourth Proportional to 7,660.16, 10,561.25 and 6,242.25

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Solution

The fourth proportional to 7,660.16, 10,561.25 and 6,242.25 is: 8,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.16 : 10,561.25 = 6,242.25 : x
  2. Step 2: Convert to fraction form
    7,660.16/10,561.25 = 6,242.25/x
  3. Step 3: Cross multiply
    7,660.16x = 10,561.25 × 6,242.25
  4. Step 4: Simplify right side
    7,660.16x = 65,925,962.81
  5. Step 5: Solve for x
    x = 65,925,962.81/7,660.16
  6. Step 6: Final answer
    x = 8,606.34

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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.