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Finding the Fourth Proportional to 10,458.48, 15,683.12 and 4,913.40

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Solution

The fourth proportional to 10,458.48, 15,683.12 and 4,913.40 is: 7,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.48 : 15,683.12 = 4,913.40 : x
  2. Step 2: Convert to fraction form
    10,458.48/15,683.12 = 4,913.40/x
  3. Step 3: Cross multiply
    10,458.48x = 15,683.12 × 4,913.40
  4. Step 4: Simplify right side
    10,458.48x = 77,057,417.24
  5. Step 5: Solve for x
    x = 77,057,417.24/10,458.48
  6. Step 6: Final answer
    x = 7,367.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.