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Finding the Fourth Proportional to 9,657.66, 13,333.77 and 6,637.80

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Solution

The fourth proportional to 9,657.66, 13,333.77 and 6,637.80 is: 9,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.66 : 13,333.77 = 6,637.80 : x
  2. Step 2: Convert to fraction form
    9,657.66/13,333.77 = 6,637.80/x
  3. Step 3: Cross multiply
    9,657.66x = 13,333.77 × 6,637.80
  4. Step 4: Simplify right side
    9,657.66x = 88,506,898.51
  5. Step 5: Solve for x
    x = 88,506,898.51/9,657.66
  6. Step 6: Final answer
    x = 9,164.42

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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.