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Finding the Fourth Proportional to 27,681.84, 38,199.72 and 15,746.16

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Solution

The fourth proportional to 27,681.84, 38,199.72 and 15,746.16 is: 21,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.84 : 38,199.72 = 15,746.16 : x
  2. Step 2: Convert to fraction form
    27,681.84/38,199.72 = 15,746.16/x
  3. Step 3: Cross multiply
    27,681.84x = 38,199.72 × 15,746.16
  4. Step 4: Simplify right side
    27,681.84x = 601,498,903.08
  5. Step 5: Solve for x
    x = 601,498,903.08/27,681.84
  6. Step 6: Final answer
    x = 21,729.01

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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.