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Finding the Fourth Proportional to 21,065.76, 31,607.86 and 9,980.36

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Solution

The fourth proportional to 21,065.76, 31,607.86 and 9,980.36 is: 14,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.76 : 31,607.86 = 9,980.36 : x
  2. Step 2: Convert to fraction form
    21,065.76/31,607.86 = 9,980.36/x
  3. Step 3: Cross multiply
    21,065.76x = 31,607.86 × 9,980.36
  4. Step 4: Simplify right side
    21,065.76x = 315,457,821.63
  5. Step 5: Solve for x
    x = 315,457,821.63/21,065.76
  6. Step 6: Final answer
    x = 14,974.91

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1.5x scale

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.