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Finding the Fourth Proportional to 10,707.60, 14,779.85 and 7,355.10

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Solution

The fourth proportional to 10,707.60, 14,779.85 and 7,355.10 is: 10,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.60 : 14,779.85 = 7,355.10 : x
  2. Step 2: Convert to fraction form
    10,707.60/14,779.85 = 7,355.10/x
  3. Step 3: Cross multiply
    10,707.60x = 14,779.85 × 7,355.10
  4. Step 4: Simplify right side
    10,707.60x = 108,707,237.96
  5. Step 5: Solve for x
    x = 108,707,237.96/10,707.60
  6. Step 6: Final answer
    x = 10,152.34

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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.