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Finding the Fourth Proportional to 7,643.92, 11,472.36 and 3,030.16

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Solution

The fourth proportional to 7,643.92, 11,472.36 and 3,030.16 is: 4,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.92 : 11,472.36 = 3,030.16 : x
  2. Step 2: Convert to fraction form
    7,643.92/11,472.36 = 3,030.16/x
  3. Step 3: Cross multiply
    7,643.92x = 11,472.36 × 3,030.16
  4. Step 4: Simplify right side
    7,643.92x = 34,763,086.38
  5. Step 5: Solve for x
    x = 34,763,086.38/7,643.92
  6. Step 6: Final answer
    x = 4,547.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.