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Finding the Fourth Proportional to 13,807.84, 20,703.12 and 6,407.68

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Solution

The fourth proportional to 13,807.84, 20,703.12 and 6,407.68 is: 9,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.84 : 20,703.12 = 6,407.68 : x
  2. Step 2: Convert to fraction form
    13,807.84/20,703.12 = 6,407.68/x
  3. Step 3: Cross multiply
    13,807.84x = 20,703.12 × 6,407.68
  4. Step 4: Simplify right side
    13,807.84x = 132,658,967.96
  5. Step 5: Solve for x
    x = 132,658,967.96/13,807.84
  6. Step 6: Final answer
    x = 9,607.51

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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.