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Finding the Fourth Proportional to 10,763.69, 14,853.76 and 6,288.12

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Solution

The fourth proportional to 10,763.69, 14,853.76 and 6,288.12 is: 8,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.69 : 14,853.76 = 6,288.12 : x
  2. Step 2: Convert to fraction form
    10,763.69/14,853.76 = 6,288.12/x
  3. Step 3: Cross multiply
    10,763.69x = 14,853.76 × 6,288.12
  4. Step 4: Simplify right side
    10,763.69x = 93,402,209.61
  5. Step 5: Solve for x
    x = 93,402,209.61/10,763.69
  6. Step 6: Final answer
    x = 8,677.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.