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Finding the Fourth Proportional to 2,079.70, 2,870.02 and 1,135.50

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Solution

The fourth proportional to 2,079.70, 2,870.02 and 1,135.50 is: 1,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.70 : 2,870.02 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    2,079.70/2,870.02 = 1,135.50/x
  3. Step 3: Cross multiply
    2,079.70x = 2,870.02 × 1,135.50
  4. Step 4: Simplify right side
    2,079.70x = 3,258,907.71
  5. Step 5: Solve for x
    x = 3,258,907.71/2,079.70
  6. Step 6: Final answer
    x = 1,567.01

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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.