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Finding the Fourth Proportional to 9,888.75, 13,652.55 and 6,358.16

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Solution

The fourth proportional to 9,888.75, 13,652.55 and 6,358.16 is: 8,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.75 : 13,652.55 = 6,358.16 : x
  2. Step 2: Convert to fraction form
    9,888.75/13,652.55 = 6,358.16/x
  3. Step 3: Cross multiply
    9,888.75x = 13,652.55 × 6,358.16
  4. Step 4: Simplify right side
    9,888.75x = 86,805,131.44
  5. Step 5: Solve for x
    x = 86,805,131.44/9,888.75
  6. Step 6: Final answer
    x = 8,778.17

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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.