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Finding the Fourth Proportional to 23,216, 32,038.08 and 13,280

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Solution

The fourth proportional to 23,216, 32,038.08 and 13,280 is: 18,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 32,038.08 = 13,280 : x
  2. Step 2: Convert to fraction form
    23,216/32,038.08 = 13,280/x
  3. Step 3: Cross multiply
    23,216x = 32,038.08 × 13,280
  4. Step 4: Simplify right side
    23,216x = 425,465,702.40
  5. Step 5: Solve for x
    x = 425,465,702.40/23,216
  6. Step 6: Final answer
    x = 18,326.40

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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.