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Finding the Fourth Proportional to 12,457.40, 18,707.70 and 8,785.40

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Solution

The fourth proportional to 12,457.40, 18,707.70 and 8,785.40 is: 13,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.40 : 18,707.70 = 8,785.40 : x
  2. Step 2: Convert to fraction form
    12,457.40/18,707.70 = 8,785.40/x
  3. Step 3: Cross multiply
    12,457.40x = 18,707.70 × 8,785.40
  4. Step 4: Simplify right side
    12,457.40x = 164,354,627.58
  5. Step 5: Solve for x
    x = 164,354,627.58/12,457.40
  6. Step 6: Final answer
    x = 13,193.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.