Home / 1,570.30-2,165.54-1,009.78

Finding the Fourth Proportional to 1,570.30, 2,165.54 and 1,009.78

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Solution

The fourth proportional to 1,570.30, 2,165.54 and 1,009.78 is: 1,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.30 : 2,165.54 = 1,009.78 : x
  2. Step 2: Convert to fraction form
    1,570.30/2,165.54 = 1,009.78/x
  3. Step 3: Cross multiply
    1,570.30x = 2,165.54 × 1,009.78
  4. Step 4: Simplify right side
    1,570.30x = 2,186,718.98
  5. Step 5: Solve for x
    x = 2,186,718.98/1,570.30
  6. Step 6: Final answer
    x = 1,392.55

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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.