Home / 1,542.90-2,127.95-983.19

Finding the Fourth Proportional to 1,542.90, 2,127.95 and 983.19

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Solution

The fourth proportional to 1,542.90, 2,127.95 and 983.19 is: 1,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.90 : 2,127.95 = 983.19 : x
  2. Step 2: Convert to fraction form
    1,542.90/2,127.95 = 983.19/x
  3. Step 3: Cross multiply
    1,542.90x = 2,127.95 × 983.19
  4. Step 4: Simplify right side
    1,542.90x = 2,092,174.24
  5. Step 5: Solve for x
    x = 2,092,174.24/1,542.90
  6. Step 6: Final answer
    x = 1,356.00

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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.