Home / 1,570.12-2,165.46-1,416.52

Finding the Fourth Proportional to 1,570.12, 2,165.46 and 1,416.52

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Solution

The fourth proportional to 1,570.12, 2,165.46 and 1,416.52 is: 1,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.12 : 2,165.46 = 1,416.52 : x
  2. Step 2: Convert to fraction form
    1,570.12/2,165.46 = 1,416.52/x
  3. Step 3: Cross multiply
    1,570.12x = 2,165.46 × 1,416.52
  4. Step 4: Simplify right side
    1,570.12x = 3,067,417.40
  5. Step 5: Solve for x
    x = 3,067,417.40/1,570.12
  6. Step 6: Final answer
    x = 1,953.62

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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.