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Finding the Fourth Proportional to 14,442.51, 19,920 and 9,132.20

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Solution

The fourth proportional to 14,442.51, 19,920 and 9,132.20 is: 12,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.51 : 19,920 = 9,132.20 : x
  2. Step 2: Convert to fraction form
    14,442.51/19,920 = 9,132.20/x
  3. Step 3: Cross multiply
    14,442.51x = 19,920 × 9,132.20
  4. Step 4: Simplify right side
    14,442.51x = 181,913,424
  5. Step 5: Solve for x
    x = 181,913,424/14,442.51
  6. Step 6: Final answer
    x = 12,595.69

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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.