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Finding the Fourth Proportional to 6,710, 10,001.80 and 6,497.68

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Solution

The fourth proportional to 6,710, 10,001.80 and 6,497.68 is: 9,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710 : 10,001.80 = 6,497.68 : x
  2. Step 2: Convert to fraction form
    6,710/10,001.80 = 6,497.68/x
  3. Step 3: Cross multiply
    6,710x = 10,001.80 × 6,497.68
  4. Step 4: Simplify right side
    6,710x = 64,988,495.82
  5. Step 5: Solve for x
    x = 64,988,495.82/6,710
  6. Step 6: Final answer
    x = 9,685.32

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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.