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Finding the Fourth Proportional to 7,312.52, 10,966.05 and 3,152.21

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Solution

The fourth proportional to 7,312.52, 10,966.05 and 3,152.21 is: 4,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.52 : 10,966.05 = 3,152.21 : x
  2. Step 2: Convert to fraction form
    7,312.52/10,966.05 = 3,152.21/x
  3. Step 3: Cross multiply
    7,312.52x = 10,966.05 × 3,152.21
  4. Step 4: Simplify right side
    7,312.52x = 34,567,237.64
  5. Step 5: Solve for x
    x = 34,567,237.64/7,312.52
  6. Step 6: Final answer
    x = 4,727.13

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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.