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Finding the Fourth Proportional to 15,503.52, 21,394.71 and 8,430

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Solution

The fourth proportional to 15,503.52, 21,394.71 and 8,430 is: 11,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.52 : 21,394.71 = 8,430 : x
  2. Step 2: Convert to fraction form
    15,503.52/21,394.71 = 8,430/x
  3. Step 3: Cross multiply
    15,503.52x = 21,394.71 × 8,430
  4. Step 4: Simplify right side
    15,503.52x = 180,357,405.30
  5. Step 5: Solve for x
    x = 180,357,405.30/15,503.52
  6. Step 6: Final answer
    x = 11,633.32

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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.