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Finding the Fourth Proportional to 9,142.20, 12,594.62 and 7,538.40

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Solution

The fourth proportional to 9,142.20, 12,594.62 and 7,538.40 is: 10,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.20 : 12,594.62 = 7,538.40 : x
  2. Step 2: Convert to fraction form
    9,142.20/12,594.62 = 7,538.40/x
  3. Step 3: Cross multiply
    9,142.20x = 12,594.62 × 7,538.40
  4. Step 4: Simplify right side
    9,142.20x = 94,943,283.41
  5. Step 5: Solve for x
    x = 94,943,283.41/9,142.20
  6. Step 6: Final answer
    x = 10,385.17

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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.