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Finding the Fourth Proportional to 9,108.70, 12,570 and 5,129.84

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Solution

The fourth proportional to 9,108.70, 12,570 and 5,129.84 is: 7,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.70 : 12,570 = 5,129.84 : x
  2. Step 2: Convert to fraction form
    9,108.70/12,570 = 5,129.84/x
  3. Step 3: Cross multiply
    9,108.70x = 12,570 × 5,129.84
  4. Step 4: Simplify right side
    9,108.70x = 64,482,088.80
  5. Step 5: Solve for x
    x = 64,482,088.80/9,108.70
  6. Step 6: Final answer
    x = 7,079.18

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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.