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Finding the Fourth Proportional to 10,985.80, 15,419 and 10,985.80

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Solution

The fourth proportional to 10,985.80, 15,419 and 10,985.80 is: 15,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.80 : 15,419 = 10,985.80 : x
  2. Step 2: Convert to fraction form
    10,985.80/15,419 = 10,985.80/x
  3. Step 3: Cross multiply
    10,985.80x = 15,419 × 10,985.80
  4. Step 4: Simplify right side
    10,985.80x = 169,390,050.20
  5. Step 5: Solve for x
    x = 169,390,050.20/10,985.80
  6. Step 6: Final answer
    x = 15,419

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.