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Finding the Fourth Proportional to 5,710, 8,564.98 and 1,814.72

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Solution

The fourth proportional to 5,710, 8,564.98 and 1,814.72 is: 2,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710 : 8,564.98 = 1,814.72 : x
  2. Step 2: Convert to fraction form
    5,710/8,564.98 = 1,814.72/x
  3. Step 3: Cross multiply
    5,710x = 8,564.98 × 1,814.72
  4. Step 4: Simplify right side
    5,710x = 15,543,040.51
  5. Step 5: Solve for x
    x = 15,543,040.51/5,710
  6. Step 6: Final answer
    x = 2,722.07

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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.