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Finding the Fourth Proportional to 27,931.61, 41,888.52 and 9,208.15

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Solution

The fourth proportional to 27,931.61, 41,888.52 and 9,208.15 is: 13,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.61 : 41,888.52 = 9,208.15 : x
  2. Step 2: Convert to fraction form
    27,931.61/41,888.52 = 9,208.15/x
  3. Step 3: Cross multiply
    27,931.61x = 41,888.52 × 9,208.15
  4. Step 4: Simplify right side
    27,931.61x = 385,715,775.44
  5. Step 5: Solve for x
    x = 385,715,775.44/27,931.61
  6. Step 6: Final answer
    x = 13,809.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.