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Finding the Fourth Proportional to 15,985.44, 23,978.16 and 7,210.14

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Solution

The fourth proportional to 15,985.44, 23,978.16 and 7,210.14 is: 10,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.44 : 23,978.16 = 7,210.14 : x
  2. Step 2: Convert to fraction form
    15,985.44/23,978.16 = 7,210.14/x
  3. Step 3: Cross multiply
    15,985.44x = 23,978.16 × 7,210.14
  4. Step 4: Simplify right side
    15,985.44x = 172,885,890.54
  5. Step 5: Solve for x
    x = 172,885,890.54/15,985.44
  6. Step 6: Final answer
    x = 10,815.21

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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.