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Finding the Fourth Proportional to 9,510.64, 13,128.29 and 8,514.13

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Solution

The fourth proportional to 9,510.64, 13,128.29 and 8,514.13 is: 11,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.64 : 13,128.29 = 8,514.13 : x
  2. Step 2: Convert to fraction form
    9,510.64/13,128.29 = 8,514.13/x
  3. Step 3: Cross multiply
    9,510.64x = 13,128.29 × 8,514.13
  4. Step 4: Simplify right side
    9,510.64x = 111,775,967.74
  5. Step 5: Solve for x
    x = 111,775,967.74/9,510.64
  6. Step 6: Final answer
    x = 11,752.73

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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.