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Finding the Fourth Proportional to 11,412.48, 15,748.80 and 6,444.48

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Solution

The fourth proportional to 11,412.48, 15,748.80 and 6,444.48 is: 8,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.48 : 15,748.80 = 6,444.48 : x
  2. Step 2: Convert to fraction form
    11,412.48/15,748.80 = 6,444.48/x
  3. Step 3: Cross multiply
    11,412.48x = 15,748.80 × 6,444.48
  4. Step 4: Simplify right side
    11,412.48x = 101,492,826.62
  5. Step 5: Solve for x
    x = 101,492,826.62/11,412.48
  6. Step 6: Final answer
    x = 8,893.14

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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.