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Finding the Fourth Proportional to 12,131.68, 16,746.08 and 7,416.40

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Solution

The fourth proportional to 12,131.68, 16,746.08 and 7,416.40 is: 10,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.68 : 16,746.08 = 7,416.40 : x
  2. Step 2: Convert to fraction form
    12,131.68/16,746.08 = 7,416.40/x
  3. Step 3: Cross multiply
    12,131.68x = 16,746.08 × 7,416.40
  4. Step 4: Simplify right side
    12,131.68x = 124,195,627.71
  5. Step 5: Solve for x
    x = 124,195,627.71/12,131.68
  6. Step 6: Final answer
    x = 10,237.30

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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.