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Finding the Fourth Proportional to 21,068.40, 31,580.74 and 9,966.65

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Solution

The fourth proportional to 21,068.40, 31,580.74 and 9,966.65 is: 14,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,068.40 : 31,580.74 = 9,966.65 : x
  2. Step 2: Convert to fraction form
    21,068.40/31,580.74 = 9,966.65/x
  3. Step 3: Cross multiply
    21,068.40x = 31,580.74 × 9,966.65
  4. Step 4: Simplify right side
    21,068.40x = 314,753,980.81
  5. Step 5: Solve for x
    x = 314,753,980.81/21,068.40
  6. Step 6: Final answer
    x = 14,939.62

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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.