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Finding the Fourth Proportional to 21,913.40, 32,870.10 and 8,775.20

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Solution

The fourth proportional to 21,913.40, 32,870.10 and 8,775.20 is: 13,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.40 : 32,870.10 = 8,775.20 : x
  2. Step 2: Convert to fraction form
    21,913.40/32,870.10 = 8,775.20/x
  3. Step 3: Cross multiply
    21,913.40x = 32,870.10 × 8,775.20
  4. Step 4: Simplify right side
    21,913.40x = 288,441,701.52
  5. Step 5: Solve for x
    x = 288,441,701.52/21,913.40
  6. Step 6: Final answer
    x = 13,162.80

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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.