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Finding the Fourth Proportional to 1,670.21, 2,304.91 and 924.15

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Solution

The fourth proportional to 1,670.21, 2,304.91 and 924.15 is: 1,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.21 : 2,304.91 = 924.15 : x
  2. Step 2: Convert to fraction form
    1,670.21/2,304.91 = 924.15/x
  3. Step 3: Cross multiply
    1,670.21x = 2,304.91 × 924.15
  4. Step 4: Simplify right side
    1,670.21x = 2,130,082.58
  5. Step 5: Solve for x
    x = 2,130,082.58/1,670.21
  6. Step 6: Final answer
    x = 1,275.34

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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.