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Finding the Fourth Proportional to 7,011.72, 10,460.16 and 6,821.06

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Solution

The fourth proportional to 7,011.72, 10,460.16 and 6,821.06 is: 10,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.72 : 10,460.16 = 6,821.06 : x
  2. Step 2: Convert to fraction form
    7,011.72/10,460.16 = 6,821.06/x
  3. Step 3: Cross multiply
    7,011.72x = 10,460.16 × 6,821.06
  4. Step 4: Simplify right side
    7,011.72x = 71,349,326.67
  5. Step 5: Solve for x
    x = 71,349,326.67/7,011.72
  6. Step 6: Final answer
    x = 10,175.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.