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Finding the Fourth Proportional to 6,988.67, 9,642.01 and 4,746.66

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Solution

The fourth proportional to 6,988.67, 9,642.01 and 4,746.66 is: 6,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.67 : 9,642.01 = 4,746.66 : x
  2. Step 2: Convert to fraction form
    6,988.67/9,642.01 = 4,746.66/x
  3. Step 3: Cross multiply
    6,988.67x = 9,642.01 × 4,746.66
  4. Step 4: Simplify right side
    6,988.67x = 45,767,319.45
  5. Step 5: Solve for x
    x = 45,767,319.45/6,988.67
  6. Step 6: Final answer
    x = 6,548.79

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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.