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Finding the Fourth Proportional to 7,103.36, 9,802.55 and 3,916.93

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Solution

The fourth proportional to 7,103.36, 9,802.55 and 3,916.93 is: 5,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.36 : 9,802.55 = 3,916.93 : x
  2. Step 2: Convert to fraction form
    7,103.36/9,802.55 = 3,916.93/x
  3. Step 3: Cross multiply
    7,103.36x = 9,802.55 × 3,916.93
  4. Step 4: Simplify right side
    7,103.36x = 38,395,927.20
  5. Step 5: Solve for x
    x = 38,395,927.20/7,103.36
  6. Step 6: Final answer
    x = 5,405.32

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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.