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Finding the Fourth Proportional to 13,416.40, 20,104.80 and 9,726.40

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Solution

The fourth proportional to 13,416.40, 20,104.80 and 9,726.40 is: 14,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.40 : 20,104.80 = 9,726.40 : x
  2. Step 2: Convert to fraction form
    13,416.40/20,104.80 = 9,726.40/x
  3. Step 3: Cross multiply
    13,416.40x = 20,104.80 × 9,726.40
  4. Step 4: Simplify right side
    13,416.40x = 195,547,326.72
  5. Step 5: Solve for x
    x = 195,547,326.72/13,416.40
  6. Step 6: Final answer
    x = 14,575.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.