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Finding the Fourth Proportional to 11,347.64, 15,657.43 and 6,631.01

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Solution

The fourth proportional to 11,347.64, 15,657.43 and 6,631.01 is: 9,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.64 : 15,657.43 = 6,631.01 : x
  2. Step 2: Convert to fraction form
    11,347.64/15,657.43 = 6,631.01/x
  3. Step 3: Cross multiply
    11,347.64x = 15,657.43 × 6,631.01
  4. Step 4: Simplify right side
    11,347.64x = 103,824,574.90
  5. Step 5: Solve for x
    x = 103,824,574.90/11,347.64
  6. Step 6: Final answer
    x = 9,149.44

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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.