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Finding the Fourth Proportional to 10,807.17, 14,904.19 and 9,219.54

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Solution

The fourth proportional to 10,807.17, 14,904.19 and 9,219.54 is: 12,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.17 : 14,904.19 = 9,219.54 : x
  2. Step 2: Convert to fraction form
    10,807.17/14,904.19 = 9,219.54/x
  3. Step 3: Cross multiply
    10,807.17x = 14,904.19 × 9,219.54
  4. Step 4: Simplify right side
    10,807.17x = 137,409,729.77
  5. Step 5: Solve for x
    x = 137,409,729.77/10,807.17
  6. Step 6: Final answer
    x = 12,714.69

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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.