Home / 1,426.61-2,140.09-502.40

Finding the Fourth Proportional to 1,426.61, 2,140.09 and 502.40

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Solution

The fourth proportional to 1,426.61, 2,140.09 and 502.40 is: 753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.61 : 2,140.09 = 502.40 : x
  2. Step 2: Convert to fraction form
    1,426.61/2,140.09 = 502.40/x
  3. Step 3: Cross multiply
    1,426.61x = 2,140.09 × 502.40
  4. Step 4: Simplify right side
    1,426.61x = 1,075,185.31
  5. Step 5: Solve for x
    x = 1,075,185.31/1,426.61
  6. Step 6: Final answer
    x = 753.66

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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.