Home / 11,412-15,746.16-6,937.68

Finding the Fourth Proportional to 11,412, 15,746.16 and 6,937.68

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Solution

The fourth proportional to 11,412, 15,746.16 and 6,937.68 is: 9,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 15,746.16 = 6,937.68 : x
  2. Step 2: Convert to fraction form
    11,412/15,746.16 = 6,937.68/x
  3. Step 3: Cross multiply
    11,412x = 15,746.16 × 6,937.68
  4. Step 4: Simplify right side
    11,412x = 109,241,819.31
  5. Step 5: Solve for x
    x = 109,241,819.31/11,412
  6. Step 6: Final answer
    x = 9,572.54

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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.