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Finding the Fourth Proportional to 1,870.40, 2,807.20 and 1,505.60

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Solution

The fourth proportional to 1,870.40, 2,807.20 and 1,505.60 is: 2,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.40 : 2,807.20 = 1,505.60 : x
  2. Step 2: Convert to fraction form
    1,870.40/2,807.20 = 1,505.60/x
  3. Step 3: Cross multiply
    1,870.40x = 2,807.20 × 1,505.60
  4. Step 4: Simplify right side
    1,870.40x = 4,226,520.32
  5. Step 5: Solve for x
    x = 4,226,520.32/1,870.40
  6. Step 6: Final answer
    x = 2,259.69

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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.