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Finding the Fourth Proportional to 7,130.26, 9,840.14 and 4,298.54

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Solution

The fourth proportional to 7,130.26, 9,840.14 and 4,298.54 is: 5,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.26 : 9,840.14 = 4,298.54 : x
  2. Step 2: Convert to fraction form
    7,130.26/9,840.14 = 4,298.54/x
  3. Step 3: Cross multiply
    7,130.26x = 9,840.14 × 4,298.54
  4. Step 4: Simplify right side
    7,130.26x = 42,298,235.40
  5. Step 5: Solve for x
    x = 42,298,235.40/7,130.26
  6. Step 6: Final answer
    x = 5,932.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.