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Finding the Fourth Proportional to 13,124.64, 19,665.08 and 9,421.32

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Solution

The fourth proportional to 13,124.64, 19,665.08 and 9,421.32 is: 14,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.64 : 19,665.08 = 9,421.32 : x
  2. Step 2: Convert to fraction form
    13,124.64/19,665.08 = 9,421.32/x
  3. Step 3: Cross multiply
    13,124.64x = 19,665.08 × 9,421.32
  4. Step 4: Simplify right side
    13,124.64x = 185,271,011.51
  5. Step 5: Solve for x
    x = 185,271,011.51/13,124.64
  6. Step 6: Final answer
    x = 14,116.27

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1.5x scale

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.