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Finding the Fourth Proportional to 13,730.59, 18,948.05 and 7,442.83

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Solution

The fourth proportional to 13,730.59, 18,948.05 and 7,442.83 is: 10,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.59 : 18,948.05 = 7,442.83 : x
  2. Step 2: Convert to fraction form
    13,730.59/18,948.05 = 7,442.83/x
  3. Step 3: Cross multiply
    13,730.59x = 18,948.05 × 7,442.83
  4. Step 4: Simplify right side
    13,730.59x = 141,027,077.77
  5. Step 5: Solve for x
    x = 141,027,077.77/13,730.59
  6. Step 6: Final answer
    x = 10,271.01

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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.