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Finding the Fourth Proportional to 1,570.64, 2,168.48 and 1,011.32

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Solution

The fourth proportional to 1,570.64, 2,168.48 and 1,011.32 is: 1,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.64 : 2,168.48 = 1,011.32 : x
  2. Step 2: Convert to fraction form
    1,570.64/2,168.48 = 1,011.32/x
  3. Step 3: Cross multiply
    1,570.64x = 2,168.48 × 1,011.32
  4. Step 4: Simplify right side
    1,570.64x = 2,193,027.19
  5. Step 5: Solve for x
    x = 2,193,027.19/1,570.64
  6. Step 6: Final answer
    x = 1,396.26

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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.