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Finding the Fourth Proportional to 10,159.68, 14,014.08 and 6,971.52

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Solution

The fourth proportional to 10,159.68, 14,014.08 and 6,971.52 is: 9,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.68 : 14,014.08 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    10,159.68/14,014.08 = 6,971.52/x
  3. Step 3: Cross multiply
    10,159.68x = 14,014.08 × 6,971.52
  4. Step 4: Simplify right side
    10,159.68x = 97,699,439.00
  5. Step 5: Solve for x
    x = 97,699,439.00/10,159.68
  6. Step 6: Final answer
    x = 9,616.39

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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.