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Finding the Fourth Proportional to 13,730.61, 18,948.27 and 7,442.98

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Solution

The fourth proportional to 13,730.61, 18,948.27 and 7,442.98 is: 10,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.61 : 18,948.27 = 7,442.98 : x
  2. Step 2: Convert to fraction form
    13,730.61/18,948.27 = 7,442.98/x
  3. Step 3: Cross multiply
    13,730.61x = 18,948.27 × 7,442.98
  4. Step 4: Simplify right side
    13,730.61x = 141,031,594.64
  5. Step 5: Solve for x
    x = 141,031,594.64/13,730.61
  6. Step 6: Final answer
    x = 10,271.33

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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.