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Finding the Fourth Proportional to 15,503.70, 21,398.19 and 9,214.86

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Solution

The fourth proportional to 15,503.70, 21,398.19 and 9,214.86 is: 12,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.70 : 21,398.19 = 9,214.86 : x
  2. Step 2: Convert to fraction form
    15,503.70/21,398.19 = 9,214.86/x
  3. Step 3: Cross multiply
    15,503.70x = 21,398.19 × 9,214.86
  4. Step 4: Simplify right side
    15,503.70x = 197,181,325.10
  5. Step 5: Solve for x
    x = 197,181,325.10/15,503.70
  6. Step 6: Final answer
    x = 12,718.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.