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Finding the Fourth Proportional to 15,913.61, 23,862.25 and 8,421.21

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Solution

The fourth proportional to 15,913.61, 23,862.25 and 8,421.21 is: 12,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.61 : 23,862.25 = 8,421.21 : x
  2. Step 2: Convert to fraction form
    15,913.61/23,862.25 = 8,421.21/x
  3. Step 3: Cross multiply
    15,913.61x = 23,862.25 × 8,421.21
  4. Step 4: Simplify right side
    15,913.61x = 200,949,018.32
  5. Step 5: Solve for x
    x = 200,949,018.32/15,913.61
  6. Step 6: Final answer
    x = 12,627.49

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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.