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Finding the Fourth Proportional to 5,813.47, 8,720.13 and 1,430.95

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Solution

The fourth proportional to 5,813.47, 8,720.13 and 1,430.95 is: 2,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.47 : 8,720.13 = 1,430.95 : x
  2. Step 2: Convert to fraction form
    5,813.47/8,720.13 = 1,430.95/x
  3. Step 3: Cross multiply
    5,813.47x = 8,720.13 × 1,430.95
  4. Step 4: Simplify right side
    5,813.47x = 12,478,070.02
  5. Step 5: Solve for x
    x = 12,478,070.02/5,813.47
  6. Step 6: Final answer
    x = 2,146.41

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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.