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Finding the Fourth Proportional to 10,243.68, 15,386.40 and 9,038.40

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Solution

The fourth proportional to 10,243.68, 15,386.40 and 9,038.40 is: 13,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.68 : 15,386.40 = 9,038.40 : x
  2. Step 2: Convert to fraction form
    10,243.68/15,386.40 = 9,038.40/x
  3. Step 3: Cross multiply
    10,243.68x = 15,386.40 × 9,038.40
  4. Step 4: Simplify right side
    10,243.68x = 139,068,437.76
  5. Step 5: Solve for x
    x = 139,068,437.76/10,243.68
  6. Step 6: Final answer
    x = 13,576.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.