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Finding the Fourth Proportional to 1,780.04, 2,454.02 and 1,501.40

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Solution

The fourth proportional to 1,780.04, 2,454.02 and 1,501.40 is: 2,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.04 : 2,454.02 = 1,501.40 : x
  2. Step 2: Convert to fraction form
    1,780.04/2,454.02 = 1,501.40/x
  3. Step 3: Cross multiply
    1,780.04x = 2,454.02 × 1,501.40
  4. Step 4: Simplify right side
    1,780.04x = 3,684,465.63
  5. Step 5: Solve for x
    x = 3,684,465.63/1,780.04
  6. Step 6: Final answer
    x = 2,069.88

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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.