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Finding the Fourth Proportional to 23,780.71, 35,672.60 and 7,985.10

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Solution

The fourth proportional to 23,780.71, 35,672.60 and 7,985.10 is: 11,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.71 : 35,672.60 = 7,985.10 : x
  2. Step 2: Convert to fraction form
    23,780.71/35,672.60 = 7,985.10/x
  3. Step 3: Cross multiply
    23,780.71x = 35,672.60 × 7,985.10
  4. Step 4: Simplify right side
    23,780.71x = 284,849,278.26
  5. Step 5: Solve for x
    x = 284,849,278.26/23,780.71
  6. Step 6: Final answer
    x = 11,978.17

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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.