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Finding the Fourth Proportional to 10,038.60, 13,866.48 and 7,709.52

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Solution

The fourth proportional to 10,038.60, 13,866.48 and 7,709.52 is: 10,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.60 : 13,866.48 = 7,709.52 : x
  2. Step 2: Convert to fraction form
    10,038.60/13,866.48 = 7,709.52/x
  3. Step 3: Cross multiply
    10,038.60x = 13,866.48 × 7,709.52
  4. Step 4: Simplify right side
    10,038.60x = 106,903,904.89
  5. Step 5: Solve for x
    x = 106,903,904.89/10,038.60
  6. Step 6: Final answer
    x = 10,649.28

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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.