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Finding the Fourth Proportional to 7,300, 10,947.68 and 2,368.50

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Solution

The fourth proportional to 7,300, 10,947.68 and 2,368.50 is: 3,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300 : 10,947.68 = 2,368.50 : x
  2. Step 2: Convert to fraction form
    7,300/10,947.68 = 2,368.50/x
  3. Step 3: Cross multiply
    7,300x = 10,947.68 × 2,368.50
  4. Step 4: Simplify right side
    7,300x = 25,929,580.08
  5. Step 5: Solve for x
    x = 25,929,580.08/7,300
  6. Step 6: Final answer
    x = 3,552.00

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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.