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Finding the Fourth Proportional to 10,702.35, 14,769.71 and 6,615.06

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Solution

The fourth proportional to 10,702.35, 14,769.71 and 6,615.06 is: 9,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.35 : 14,769.71 = 6,615.06 : x
  2. Step 2: Convert to fraction form
    10,702.35/14,769.71 = 6,615.06/x
  3. Step 3: Cross multiply
    10,702.35x = 14,769.71 × 6,615.06
  4. Step 4: Simplify right side
    10,702.35x = 97,702,484.76
  5. Step 5: Solve for x
    x = 97,702,484.76/10,702.35
  6. Step 6: Final answer
    x = 9,129.07

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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.