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Finding the Fourth Proportional to 34,480, 47,582.40 and 19,576

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Solution

The fourth proportional to 34,480, 47,582.40 and 19,576 is: 27,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480 : 47,582.40 = 19,576 : x
  2. Step 2: Convert to fraction form
    34,480/47,582.40 = 19,576/x
  3. Step 3: Cross multiply
    34,480x = 47,582.40 × 19,576
  4. Step 4: Simplify right side
    34,480x = 931,473,062.40
  5. Step 5: Solve for x
    x = 931,473,062.40/34,480
  6. Step 6: Final answer
    x = 27,014.88

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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.