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Finding the Fourth Proportional to 12,763.70, 17,612.88 and 7,457.93

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Solution

The fourth proportional to 12,763.70, 17,612.88 and 7,457.93 is: 10,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.70 : 17,612.88 = 7,457.93 : x
  2. Step 2: Convert to fraction form
    12,763.70/17,612.88 = 7,457.93/x
  3. Step 3: Cross multiply
    12,763.70x = 17,612.88 × 7,457.93
  4. Step 4: Simplify right side
    12,763.70x = 131,355,626.14
  5. Step 5: Solve for x
    x = 131,355,626.14/12,763.70
  6. Step 6: Final answer
    x = 10,291.34

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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.