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Finding the Fourth Proportional to 5,102.58, 7,045.71 and 4,158.51

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Solution

The fourth proportional to 5,102.58, 7,045.71 and 4,158.51 is: 5,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.58 : 7,045.71 = 4,158.51 : x
  2. Step 2: Convert to fraction form
    5,102.58/7,045.71 = 4,158.51/x
  3. Step 3: Cross multiply
    5,102.58x = 7,045.71 × 4,158.51
  4. Step 4: Simplify right side
    5,102.58x = 29,299,655.49
  5. Step 5: Solve for x
    x = 29,299,655.49/5,102.58
  6. Step 6: Final answer
    x = 5,742.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.