Home / 1,570.32-2,166.30-972.54

Finding the Fourth Proportional to 1,570.32, 2,166.30 and 972.54

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Solution

The fourth proportional to 1,570.32, 2,166.30 and 972.54 is: 1,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.32 : 2,166.30 = 972.54 : x
  2. Step 2: Convert to fraction form
    1,570.32/2,166.30 = 972.54/x
  3. Step 3: Cross multiply
    1,570.32x = 2,166.30 × 972.54
  4. Step 4: Simplify right side
    1,570.32x = 2,106,813.40
  5. Step 5: Solve for x
    x = 2,106,813.40/1,570.32
  6. Step 6: Final answer
    x = 1,341.65

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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.