Home / 1,577.76-2,177.10-948.16

Finding the Fourth Proportional to 1,577.76, 2,177.10 and 948.16

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Solution

The fourth proportional to 1,577.76, 2,177.10 and 948.16 is: 1,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.76 : 2,177.10 = 948.16 : x
  2. Step 2: Convert to fraction form
    1,577.76/2,177.10 = 948.16/x
  3. Step 3: Cross multiply
    1,577.76x = 2,177.10 × 948.16
  4. Step 4: Simplify right side
    1,577.76x = 2,064,239.14
  5. Step 5: Solve for x
    x = 2,064,239.14/1,577.76
  6. Step 6: Final answer
    x = 1,308.34

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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.