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Finding the Fourth Proportional to 19,870.66, 29,816.44 and 8,785

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Solution

The fourth proportional to 19,870.66, 29,816.44 and 8,785 is: 13,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.66 : 29,816.44 = 8,785 : x
  2. Step 2: Convert to fraction form
    19,870.66/29,816.44 = 8,785/x
  3. Step 3: Cross multiply
    19,870.66x = 29,816.44 × 8,785
  4. Step 4: Simplify right side
    19,870.66x = 261,937,425.40
  5. Step 5: Solve for x
    x = 261,937,425.40/19,870.66
  6. Step 6: Final answer
    x = 13,182.12

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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.