Home / 1,680.32-2,319.14-972.05

Finding the Fourth Proportional to 1,680.32, 2,319.14 and 972.05

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Solution

The fourth proportional to 1,680.32, 2,319.14 and 972.05 is: 1,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.32 : 2,319.14 = 972.05 : x
  2. Step 2: Convert to fraction form
    1,680.32/2,319.14 = 972.05/x
  3. Step 3: Cross multiply
    1,680.32x = 2,319.14 × 972.05
  4. Step 4: Simplify right side
    1,680.32x = 2,254,303.58
  5. Step 5: Solve for x
    x = 2,254,303.58/1,680.32
  6. Step 6: Final answer
    x = 1,341.59

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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.