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Finding the Fourth Proportional to 7,211.48, 9,953.10 and 5,730.66

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Solution

The fourth proportional to 7,211.48, 9,953.10 and 5,730.66 is: 7,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.48 : 9,953.10 = 5,730.66 : x
  2. Step 2: Convert to fraction form
    7,211.48/9,953.10 = 5,730.66/x
  3. Step 3: Cross multiply
    7,211.48x = 9,953.10 × 5,730.66
  4. Step 4: Simplify right side
    7,211.48x = 57,037,832.05
  5. Step 5: Solve for x
    x = 57,037,832.05/7,211.48
  6. Step 6: Final answer
    x = 7,909.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.