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Finding the Fourth Proportional to 12,710, 19,046.83 and 5,585.71

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Solution

The fourth proportional to 12,710, 19,046.83 and 5,585.71 is: 8,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710 : 19,046.83 = 5,585.71 : x
  2. Step 2: Convert to fraction form
    12,710/19,046.83 = 5,585.71/x
  3. Step 3: Cross multiply
    12,710x = 19,046.83 × 5,585.71
  4. Step 4: Simplify right side
    12,710x = 106,390,068.80
  5. Step 5: Solve for x
    x = 106,390,068.80/12,710
  6. Step 6: Final answer
    x = 8,370.58

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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.