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Finding the Fourth Proportional to 9,113.16, 12,576 and 5,134.80

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Solution

The fourth proportional to 9,113.16, 12,576 and 5,134.80 is: 7,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.16 : 12,576 = 5,134.80 : x
  2. Step 2: Convert to fraction form
    9,113.16/12,576 = 5,134.80/x
  3. Step 3: Cross multiply
    9,113.16x = 12,576 × 5,134.80
  4. Step 4: Simplify right side
    9,113.16x = 64,575,244.80
  5. Step 5: Solve for x
    x = 64,575,244.80/9,113.16
  6. Step 6: Final answer
    x = 7,085.93

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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.