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Finding the Fourth Proportional to 3,390.47, 4,678.59 and 2,064

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Solution

The fourth proportional to 3,390.47, 4,678.59 and 2,064 is: 2,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.47 : 4,678.59 = 2,064 : x
  2. Step 2: Convert to fraction form
    3,390.47/4,678.59 = 2,064/x
  3. Step 3: Cross multiply
    3,390.47x = 4,678.59 × 2,064
  4. Step 4: Simplify right side
    3,390.47x = 9,656,609.76
  5. Step 5: Solve for x
    x = 9,656,609.76/3,390.47
  6. Step 6: Final answer
    x = 2,848.16

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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.