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Finding the Fourth Proportional to 11,457.74, 15,809.34 and 8,275.86

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Solution

The fourth proportional to 11,457.74, 15,809.34 and 8,275.86 is: 11,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.74 : 15,809.34 = 8,275.86 : x
  2. Step 2: Convert to fraction form
    11,457.74/15,809.34 = 8,275.86/x
  3. Step 3: Cross multiply
    11,457.74x = 15,809.34 × 8,275.86
  4. Step 4: Simplify right side
    11,457.74x = 130,835,884.53
  5. Step 5: Solve for x
    x = 130,835,884.53/11,457.74
  6. Step 6: Final answer
    x = 11,419.00

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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.