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Finding the Fourth Proportional to 1,870.24, 2,805.90 and 775.12

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Solution

The fourth proportional to 1,870.24, 2,805.90 and 775.12 is: 1,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.24 : 2,805.90 = 775.12 : x
  2. Step 2: Convert to fraction form
    1,870.24/2,805.90 = 775.12/x
  3. Step 3: Cross multiply
    1,870.24x = 2,805.90 × 775.12
  4. Step 4: Simplify right side
    1,870.24x = 2,174,909.21
  5. Step 5: Solve for x
    x = 2,174,909.21/1,870.24
  6. Step 6: Final answer
    x = 1,162.90

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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.