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Finding the Fourth Proportional to 1,870.90, 2,807.12 and 775.06

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Solution

The fourth proportional to 1,870.90, 2,807.12 and 775.06 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.90 : 2,807.12 = 775.06 : x
  2. Step 2: Convert to fraction form
    1,870.90/2,807.12 = 775.06/x
  3. Step 3: Cross multiply
    1,870.90x = 2,807.12 × 775.06
  4. Step 4: Simplify right side
    1,870.90x = 2,175,686.43
  5. Step 5: Solve for x
    x = 2,175,686.43/1,870.90
  6. Step 6: Final answer
    x = 1,162.91

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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.