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Finding the Fourth Proportional to 7,707.99, 10,637.01 and 4,171.20

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Solution

The fourth proportional to 7,707.99, 10,637.01 and 4,171.20 is: 5,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.99 : 10,637.01 = 4,171.20 : x
  2. Step 2: Convert to fraction form
    7,707.99/10,637.01 = 4,171.20/x
  3. Step 3: Cross multiply
    7,707.99x = 10,637.01 × 4,171.20
  4. Step 4: Simplify right side
    7,707.99x = 44,369,096.11
  5. Step 5: Solve for x
    x = 44,369,096.11/7,707.99
  6. Step 6: Final answer
    x = 5,756.25

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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.