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Finding the Fourth Proportional to 15,987.42, 23,978.40 and 7,220.28

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Solution

The fourth proportional to 15,987.42, 23,978.40 and 7,220.28 is: 10,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.42 : 23,978.40 = 7,220.28 : x
  2. Step 2: Convert to fraction form
    15,987.42/23,978.40 = 7,220.28/x
  3. Step 3: Cross multiply
    15,987.42x = 23,978.40 × 7,220.28
  4. Step 4: Simplify right side
    15,987.42x = 173,130,761.95
  5. Step 5: Solve for x
    x = 173,130,761.95/15,987.42
  6. Step 6: Final answer
    x = 10,829.19

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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.