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Finding the Fourth Proportional to 19,971, 29,955.24 and 7,800.48

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Solution

The fourth proportional to 19,971, 29,955.24 and 7,800.48 is: 11,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 29,955.24 = 7,800.48 : x
  2. Step 2: Convert to fraction form
    19,971/29,955.24 = 7,800.48/x
  3. Step 3: Cross multiply
    19,971x = 29,955.24 × 7,800.48
  4. Step 4: Simplify right side
    19,971x = 233,665,250.52
  5. Step 5: Solve for x
    x = 233,665,250.52/19,971
  6. Step 6: Final answer
    x = 11,700.23

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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.