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Finding the Fourth Proportional to 19,248, 26,560.80 and 10,864.32

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Solution

The fourth proportional to 19,248, 26,560.80 and 10,864.32 is: 14,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 26,560.80 = 10,864.32 : x
  2. Step 2: Convert to fraction form
    19,248/26,560.80 = 10,864.32/x
  3. Step 3: Cross multiply
    19,248x = 26,560.80 × 10,864.32
  4. Step 4: Simplify right side
    19,248x = 288,565,030.66
  5. Step 5: Solve for x
    x = 288,565,030.66/19,248
  6. Step 6: Final answer
    x = 14,991.95

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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.