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Finding the Fourth Proportional to 20,535, 28,326.96 and 13,808.76

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Solution

The fourth proportional to 20,535, 28,326.96 and 13,808.76 is: 19,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535 : 28,326.96 = 13,808.76 : x
  2. Step 2: Convert to fraction form
    20,535/28,326.96 = 13,808.76/x
  3. Step 3: Cross multiply
    20,535x = 28,326.96 × 13,808.76
  4. Step 4: Simplify right side
    20,535x = 391,160,192.17
  5. Step 5: Solve for x
    x = 391,160,192.17/20,535
  6. Step 6: Final answer
    x = 19,048.46

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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.