Home / 1,440.02-2,158.20-824.06

Finding the Fourth Proportional to 1,440.02, 2,158.20 and 824.06

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Solution

The fourth proportional to 1,440.02, 2,158.20 and 824.06 is: 1,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.02 : 2,158.20 = 824.06 : x
  2. Step 2: Convert to fraction form
    1,440.02/2,158.20 = 824.06/x
  3. Step 3: Cross multiply
    1,440.02x = 2,158.20 × 824.06
  4. Step 4: Simplify right side
    1,440.02x = 1,778,486.29
  5. Step 5: Solve for x
    x = 1,778,486.29/1,440.02
  6. Step 6: Final answer
    x = 1,235.04

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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.