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Finding the Fourth Proportional to 9,312, 13,969.83 and 4,117.88

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Solution

The fourth proportional to 9,312, 13,969.83 and 4,117.88 is: 6,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 13,969.83 = 4,117.88 : x
  2. Step 2: Convert to fraction form
    9,312/13,969.83 = 4,117.88/x
  3. Step 3: Cross multiply
    9,312x = 13,969.83 × 4,117.88
  4. Step 4: Simplify right side
    9,312x = 57,526,013.71
  5. Step 5: Solve for x
    x = 57,526,013.71/9,312
  6. Step 6: Final answer
    x = 6,177.62

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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.