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Finding the Fourth Proportional to 7,002.99, 9,678.06 and 5,742.09

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Solution

The fourth proportional to 7,002.99, 9,678.06 and 5,742.09 is: 7,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.99 : 9,678.06 = 5,742.09 : x
  2. Step 2: Convert to fraction form
    7,002.99/9,678.06 = 5,742.09/x
  3. Step 3: Cross multiply
    7,002.99x = 9,678.06 × 5,742.09
  4. Step 4: Simplify right side
    7,002.99x = 55,572,291.55
  5. Step 5: Solve for x
    x = 55,572,291.55/7,002.99
  6. Step 6: Final answer
    x = 7,935.51

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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.