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Finding the Fourth Proportional to 21,830.32, 32,750.16 and 7,040.08

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Solution

The fourth proportional to 21,830.32, 32,750.16 and 7,040.08 is: 10,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.32 : 32,750.16 = 7,040.08 : x
  2. Step 2: Convert to fraction form
    21,830.32/32,750.16 = 7,040.08/x
  3. Step 3: Cross multiply
    21,830.32x = 32,750.16 × 7,040.08
  4. Step 4: Simplify right side
    21,830.32x = 230,563,746.41
  5. Step 5: Solve for x
    x = 230,563,746.41/21,830.32
  6. Step 6: Final answer
    x = 10,561.63

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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.