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Finding the Fourth Proportional to 20,000.48, 29,970 and 7,681.76

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Solution

The fourth proportional to 20,000.48, 29,970 and 7,681.76 is: 11,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.48 : 29,970 = 7,681.76 : x
  2. Step 2: Convert to fraction form
    20,000.48/29,970 = 7,681.76/x
  3. Step 3: Cross multiply
    20,000.48x = 29,970 × 7,681.76
  4. Step 4: Simplify right side
    20,000.48x = 230,222,347.20
  5. Step 5: Solve for x
    x = 230,222,347.20/20,000.48
  6. Step 6: Final answer
    x = 11,510.84

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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.