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Finding the Fourth Proportional to 2,993, 4,130.42 and 1,666.76

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Solution

The fourth proportional to 2,993, 4,130.42 and 1,666.76 is: 2,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993 : 4,130.42 = 1,666.76 : x
  2. Step 2: Convert to fraction form
    2,993/4,130.42 = 1,666.76/x
  3. Step 3: Cross multiply
    2,993x = 4,130.42 × 1,666.76
  4. Step 4: Simplify right side
    2,993x = 6,884,418.84
  5. Step 5: Solve for x
    x = 6,884,418.84/2,993
  6. Step 6: Final answer
    x = 2,300.17

Related Problems

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Half scale
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Double scale
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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.