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Finding the Fourth Proportional to 5,813.51, 8,720.06 and 1,430.87

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Solution

The fourth proportional to 5,813.51, 8,720.06 and 1,430.87 is: 2,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.51 : 8,720.06 = 1,430.87 : x
  2. Step 2: Convert to fraction form
    5,813.51/8,720.06 = 1,430.87/x
  3. Step 3: Cross multiply
    5,813.51x = 8,720.06 × 1,430.87
  4. Step 4: Simplify right side
    5,813.51x = 12,477,221.50
  5. Step 5: Solve for x
    x = 12,477,221.50/5,813.51
  6. Step 6: Final answer
    x = 2,146.25

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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.