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Finding the Fourth Proportional to 10,358, 15,547.54 and 7,777.34

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Solution

The fourth proportional to 10,358, 15,547.54 and 7,777.34 is: 11,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358 : 15,547.54 = 7,777.34 : x
  2. Step 2: Convert to fraction form
    10,358/15,547.54 = 7,777.34/x
  3. Step 3: Cross multiply
    10,358x = 15,547.54 × 7,777.34
  4. Step 4: Simplify right side
    10,358x = 120,918,504.74
  5. Step 5: Solve for x
    x = 120,918,504.74/10,358
  6. Step 6: Final answer
    x = 11,673.92

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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.