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Finding the Fourth Proportional to 13,259, 19,875.12 and 8,332.16

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Solution

The fourth proportional to 13,259, 19,875.12 and 8,332.16 is: 12,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259 : 19,875.12 = 8,332.16 : x
  2. Step 2: Convert to fraction form
    13,259/19,875.12 = 8,332.16/x
  3. Step 3: Cross multiply
    13,259x = 19,875.12 × 8,332.16
  4. Step 4: Simplify right side
    13,259x = 165,602,679.86
  5. Step 5: Solve for x
    x = 165,602,679.86/13,259
  6. Step 6: Final answer
    x = 12,489.83

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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.