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Finding the Fourth Proportional to 11,504.64, 15,876.81 and 7,030.38

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Solution

The fourth proportional to 11,504.64, 15,876.81 and 7,030.38 is: 9,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.64 : 15,876.81 = 7,030.38 : x
  2. Step 2: Convert to fraction form
    11,504.64/15,876.81 = 7,030.38/x
  3. Step 3: Cross multiply
    11,504.64x = 15,876.81 × 7,030.38
  4. Step 4: Simplify right side
    11,504.64x = 111,620,007.49
  5. Step 5: Solve for x
    x = 111,620,007.49/11,504.64
  6. Step 6: Final answer
    x = 9,702.17

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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.