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Finding the Fourth Proportional to 21,710.38, 32,570.44 and 7,671.46

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Solution

The fourth proportional to 21,710.38, 32,570.44 and 7,671.46 is: 11,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.38 : 32,570.44 = 7,671.46 : x
  2. Step 2: Convert to fraction form
    21,710.38/32,570.44 = 7,671.46/x
  3. Step 3: Cross multiply
    21,710.38x = 32,570.44 × 7,671.46
  4. Step 4: Simplify right side
    21,710.38x = 249,862,827.64
  5. Step 5: Solve for x
    x = 249,862,827.64/21,710.38
  6. Step 6: Final answer
    x = 11,508.91

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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.