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Finding the Fourth Proportional to 9,671.82, 13,354.65 and 7,430.15

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Solution

The fourth proportional to 9,671.82, 13,354.65 and 7,430.15 is: 10,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.82 : 13,354.65 = 7,430.15 : x
  2. Step 2: Convert to fraction form
    9,671.82/13,354.65 = 7,430.15/x
  3. Step 3: Cross multiply
    9,671.82x = 13,354.65 × 7,430.15
  4. Step 4: Simplify right side
    9,671.82x = 99,226,985.92
  5. Step 5: Solve for x
    x = 99,226,985.92/9,671.82
  6. Step 6: Final answer
    x = 10,259.39

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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.