Home / 1,461.85-2,192.24-421.50

Finding the Fourth Proportional to 1,461.85, 2,192.24 and 421.50

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Solution

The fourth proportional to 1,461.85, 2,192.24 and 421.50 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.85 : 2,192.24 = 421.50 : x
  2. Step 2: Convert to fraction form
    1,461.85/2,192.24 = 421.50/x
  3. Step 3: Cross multiply
    1,461.85x = 2,192.24 × 421.50
  4. Step 4: Simplify right side
    1,461.85x = 924,038.43
  5. Step 5: Solve for x
    x = 924,038.43/1,461.85
  6. Step 6: Final answer
    x = 632.10

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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.