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Finding the Fourth Proportional to 11,218.40, 15,476.88 and 6,742.40

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Solution

The fourth proportional to 11,218.40, 15,476.88 and 6,742.40 is: 9,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.40 : 15,476.88 = 6,742.40 : x
  2. Step 2: Convert to fraction form
    11,218.40/15,476.88 = 6,742.40/x
  3. Step 3: Cross multiply
    11,218.40x = 15,476.88 × 6,742.40
  4. Step 4: Simplify right side
    11,218.40x = 104,351,315.71
  5. Step 5: Solve for x
    x = 104,351,315.71/11,218.40
  6. Step 6: Final answer
    x = 9,301.80

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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.