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Finding the Fourth Proportional to 9,113.65, 13,670.48 and 5,215.32

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Solution

The fourth proportional to 9,113.65, 13,670.48 and 5,215.32 is: 7,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.65 : 13,670.48 = 5,215.32 : x
  2. Step 2: Convert to fraction form
    9,113.65/13,670.48 = 5,215.32/x
  3. Step 3: Cross multiply
    9,113.65x = 13,670.48 × 5,215.32
  4. Step 4: Simplify right side
    9,113.65x = 71,296,005.80
  5. Step 5: Solve for x
    x = 71,296,005.80/9,113.65
  6. Step 6: Final answer
    x = 7,822.99

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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.