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Finding the Fourth Proportional to 7,122.47, 9,826.40 and 4,468.91

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Solution

The fourth proportional to 7,122.47, 9,826.40 and 4,468.91 is: 6,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.47 : 9,826.40 = 4,468.91 : x
  2. Step 2: Convert to fraction form
    7,122.47/9,826.40 = 4,468.91/x
  3. Step 3: Cross multiply
    7,122.47x = 9,826.40 × 4,468.91
  4. Step 4: Simplify right side
    7,122.47x = 43,913,274.88
  5. Step 5: Solve for x
    x = 43,913,274.88/7,122.47
  6. Step 6: Final answer
    x = 6,165.46

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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.