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Finding the Fourth Proportional to 14,981.60, 20,655.60 and 10,258.40

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Solution

The fourth proportional to 14,981.60, 20,655.60 and 10,258.40 is: 14,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,981.60 : 20,655.60 = 10,258.40 : x
  2. Step 2: Convert to fraction form
    14,981.60/20,655.60 = 10,258.40/x
  3. Step 3: Cross multiply
    14,981.60x = 20,655.60 × 10,258.40
  4. Step 4: Simplify right side
    14,981.60x = 211,893,407.04
  5. Step 5: Solve for x
    x = 211,893,407.04/14,981.60
  6. Step 6: Final answer
    x = 14,143.58

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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.