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Finding the Fourth Proportional to 5,603.78, 8,406.77 and 1,655.10

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Solution

The fourth proportional to 5,603.78, 8,406.77 and 1,655.10 is: 2,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.78 : 8,406.77 = 1,655.10 : x
  2. Step 2: Convert to fraction form
    5,603.78/8,406.77 = 1,655.10/x
  3. Step 3: Cross multiply
    5,603.78x = 8,406.77 × 1,655.10
  4. Step 4: Simplify right side
    5,603.78x = 13,914,055.54
  5. Step 5: Solve for x
    x = 13,914,055.54/5,603.78
  6. Step 6: Final answer
    x = 2,482.98

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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.