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Finding the Fourth Proportional to 7,516, 11,261.80 and 4,585.40

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Solution

The fourth proportional to 7,516, 11,261.80 and 4,585.40 is: 6,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516 : 11,261.80 = 4,585.40 : x
  2. Step 2: Convert to fraction form
    7,516/11,261.80 = 4,585.40/x
  3. Step 3: Cross multiply
    7,516x = 11,261.80 × 4,585.40
  4. Step 4: Simplify right side
    7,516x = 51,639,857.72
  5. Step 5: Solve for x
    x = 51,639,857.72/7,516
  6. Step 6: Final answer
    x = 6,870.66

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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.