Home / 1,652.42-2,279.40-1,456.40

Finding the Fourth Proportional to 1,652.42, 2,279.40 and 1,456.40

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Solution

The fourth proportional to 1,652.42, 2,279.40 and 1,456.40 is: 2,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.42 : 2,279.40 = 1,456.40 : x
  2. Step 2: Convert to fraction form
    1,652.42/2,279.40 = 1,456.40/x
  3. Step 3: Cross multiply
    1,652.42x = 2,279.40 × 1,456.40
  4. Step 4: Simplify right side
    1,652.42x = 3,319,718.16
  5. Step 5: Solve for x
    x = 3,319,718.16/1,652.42
  6. Step 6: Final answer
    x = 2,009.00

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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.