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Finding the Fourth Proportional to 11,360, 15,675.54 and 6,323.06

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Solution

The fourth proportional to 11,360, 15,675.54 and 6,323.06 is: 8,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 15,675.54 = 6,323.06 : x
  2. Step 2: Convert to fraction form
    11,360/15,675.54 = 6,323.06/x
  3. Step 3: Cross multiply
    11,360x = 15,675.54 × 6,323.06
  4. Step 4: Simplify right side
    11,360x = 99,117,379.95
  5. Step 5: Solve for x
    x = 99,117,379.95/11,360
  6. Step 6: Final answer
    x = 8,725.12

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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.