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Finding the Fourth Proportional to 14,397.86, 21,602.96 and 7,828.76

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Solution

The fourth proportional to 14,397.86, 21,602.96 and 7,828.76 is: 11,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.86 : 21,602.96 = 7,828.76 : x
  2. Step 2: Convert to fraction form
    14,397.86/21,602.96 = 7,828.76/x
  3. Step 3: Cross multiply
    14,397.86x = 21,602.96 × 7,828.76
  4. Step 4: Simplify right side
    14,397.86x = 169,124,241.97
  5. Step 5: Solve for x
    x = 169,124,241.97/14,397.86
  6. Step 6: Final answer
    x = 11,746.49

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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.