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Finding the Fourth Proportional to 5,290.93, 7,897.76 and 4,905.47

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Solution

The fourth proportional to 5,290.93, 7,897.76 and 4,905.47 is: 7,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.93 : 7,897.76 = 4,905.47 : x
  2. Step 2: Convert to fraction form
    5,290.93/7,897.76 = 4,905.47/x
  3. Step 3: Cross multiply
    5,290.93x = 7,897.76 × 4,905.47
  4. Step 4: Simplify right side
    5,290.93x = 38,742,256.76
  5. Step 5: Solve for x
    x = 38,742,256.76/5,290.93
  6. Step 6: Final answer
    x = 7,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.