Home / 7,088.16-10,632.64-1,823.20

Finding the Fourth Proportional to 7,088.16, 10,632.64 and 1,823.20

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Solution

The fourth proportional to 7,088.16, 10,632.64 and 1,823.20 is: 2,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.16 : 10,632.64 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    7,088.16/10,632.64 = 1,823.20/x
  3. Step 3: Cross multiply
    7,088.16x = 10,632.64 × 1,823.20
  4. Step 4: Simplify right side
    7,088.16x = 19,385,429.25
  5. Step 5: Solve for x
    x = 19,385,429.25/7,088.16
  6. Step 6: Final answer
    x = 2,734.90

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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.