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Finding the Fourth Proportional to 19,332, 28,978.56 and 9,975.96

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Solution

The fourth proportional to 19,332, 28,978.56 and 9,975.96 is: 14,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332 : 28,978.56 = 9,975.96 : x
  2. Step 2: Convert to fraction form
    19,332/28,978.56 = 9,975.96/x
  3. Step 3: Cross multiply
    19,332x = 28,978.56 × 9,975.96
  4. Step 4: Simplify right side
    19,332x = 289,088,955.42
  5. Step 5: Solve for x
    x = 289,088,955.42/19,332
  6. Step 6: Final answer
    x = 14,953.91

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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.