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Finding the Fourth Proportional to 11,827.50, 16,322.16 and 7,643.04

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Solution

The fourth proportional to 11,827.50, 16,322.16 and 7,643.04 is: 10,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.50 : 16,322.16 = 7,643.04 : x
  2. Step 2: Convert to fraction form
    11,827.50/16,322.16 = 7,643.04/x
  3. Step 3: Cross multiply
    11,827.50x = 16,322.16 × 7,643.04
  4. Step 4: Simplify right side
    11,827.50x = 124,750,921.77
  5. Step 5: Solve for x
    x = 124,750,921.77/11,827.50
  6. Step 6: Final answer
    x = 10,547.53

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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.