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Finding the Fourth Proportional to 15,953.76, 22,016.16 and 8,880.12

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Solution

The fourth proportional to 15,953.76, 22,016.16 and 8,880.12 is: 12,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.76 : 22,016.16 = 8,880.12 : x
  2. Step 2: Convert to fraction form
    15,953.76/22,016.16 = 8,880.12/x
  3. Step 3: Cross multiply
    15,953.76x = 22,016.16 × 8,880.12
  4. Step 4: Simplify right side
    15,953.76x = 195,506,142.74
  5. Step 5: Solve for x
    x = 195,506,142.74/15,953.76
  6. Step 6: Final answer
    x = 12,254.55

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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.