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Finding the Fourth Proportional to 7,562.57, 11,320.43 and 6,916.71

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Solution

The fourth proportional to 7,562.57, 11,320.43 and 6,916.71 is: 10,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.57 : 11,320.43 = 6,916.71 : x
  2. Step 2: Convert to fraction form
    7,562.57/11,320.43 = 6,916.71/x
  3. Step 3: Cross multiply
    7,562.57x = 11,320.43 × 6,916.71
  4. Step 4: Simplify right side
    7,562.57x = 78,300,075.58
  5. Step 5: Solve for x
    x = 78,300,075.58/7,562.57
  6. Step 6: Final answer
    x = 10,353.64

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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.