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Finding the Fourth Proportional to 7,605.72, 11,398.18 and 4,827.40

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Solution

The fourth proportional to 7,605.72, 11,398.18 and 4,827.40 is: 7,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.72 : 11,398.18 = 4,827.40 : x
  2. Step 2: Convert to fraction form
    7,605.72/11,398.18 = 4,827.40/x
  3. Step 3: Cross multiply
    7,605.72x = 11,398.18 × 4,827.40
  4. Step 4: Simplify right side
    7,605.72x = 55,023,574.13
  5. Step 5: Solve for x
    x = 55,023,574.13/7,605.72
  6. Step 6: Final answer
    x = 7,234.50

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1.5x scale

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.